**Finding Rational Numbers Between 4 and 5 Using the Mean Method**

To find five rational numbers between 4 and 5 using the mean method, we can utilize the concept of averages or means. The mean or average of two numbers is their sum divided by 2. By repeatedly finding the mean between two given numbers, we can generate a series of rational numbers that lie between them.

Below is a step-by-step explanation of how to find the five rational numbers between 4 and 5 using the mean method:

**Step 1: Identify the Given Numbers**
The given numbers in this case are 4 and 5.

**Step 2: Find the Mean of the Given Numbers**
To find the mean of two numbers, we add them and divide by 2. Thus, the mean of 4 and 5 is (4 + 5) / 2 = 9 / 2 = 4.5.

**Step 3: First Rational Number**
The first rational number between 4 and 5 is the mean we just found, which is 4.5.

**Step 4: Find the Mean Between 4 and 4.5**
To find the mean between 4 and 4.5, we add these two numbers and divide by 2: (4 + 4.5) / 2 = 8.5 / 2 = 4.25.

**Step 5: Second Rational Number**
The second rational number between 4 and 5 is the mean we just found, which is 4.25.

**Step 6: Find the Mean Between 4.25 and 4.5**
To find the mean between 4.25 and 4.5, we add these two numbers and divide by 2: (4.25 + 4.5) / 2 = 8.75 / 2 = 4.375.

**Step 7: Third Rational Number**
The third rational number between 4 and 5 is the mean we just found, which is 4.375.

**Step 8: Find the Mean Between 4.375 and 4.5**
To find the mean between 4.375 and 4.5, we add these two numbers and divide by 2: (4.375 + 4.5) / 2 = 8.875 / 2 = 4.4375.

**Step 9: Fourth Rational Number**
The fourth rational number between 4 and 5 is the mean we just found, which is 4.4375.

**Step 10: Find the Mean Between 4.4375 and 4.5**
To find the mean between 4.4375 and 4.5, we add these two numbers and divide by 2: (4.4375 + 4.5) / 2 = 8.9375 / 2 = 4.46875.

**Step 11: Fifth Rational Number**
The fifth rational number between 4 and 5 is the mean we just found, which is 4.46875.

Therefore, the five rational numbers between 4 and 5, obtained using the mean method, are:
- 4.5
- 4.25
- 4.375
- 4.4375
- 4.46875.

These numbers

4.1 ,4.2,4.3,4.4,4.5, and so on