Pattern:
To solve this question, we need to identify the pattern or relationship between the given numbers and find the number that follows the same pattern.

Given Numbers:
4597 : 83
2976 : ?

Explanation:
Let's analyze the given numbers step by step to understand the pattern.

Step 1:
4597 can be written as 4 * 1000 + 5 * 100 + 9 * 10 + 7.
Similarly, 2976 can be written as 2 * 1000 + 9 * 100 + 7 * 10 + 6.

From this, we can observe that the digits of the number are multiplied by a specific value (1000, 100, 10, and 1) and then added together.

Step 2:
Now, let's analyze the respective values of the digits in both numbers.
For 4597, the values are 4, 5, 9, and 7.
For 2976, the values are 2, 9, 7, and 6.

Step 3:
Next, let's find the difference between the values of the corresponding digits in both numbers.
For example, the difference between 4 and 2 is 2. Similarly, the differences between 5 and 9, 9 and 7, and 7 and 6 are 4, -2, and 1 respectively.

Step 4:
Now, let's analyze the given ratio 83 and find the relationship between the differences obtained in Step 3 and the number in the ratio.
The ratio 83 can be written as (4 * 2) + (-2 * 4) + (1 * 9).
Here, the differences obtained in Step 3 are multiplied by a specific value (2, -4, and 9) and then added together.

Step 5:
Using the same pattern, we can find the value for the second number.
For 2976, the differences in Step 3 are 2, -2, and 1.
So, the number in the ratio can be calculated as (2 * 2) + (-2 * 4) + (1 * 9) = 4 - 8 + 9 = 5.

Therefore, the missing number is 5.

Conclusion:
The related number for 2976 is 5, and it is represented by option D in the given alternatives.