Directions:

In a numerical pattern, the same whole-number operation converts the first value into the next value in each pair. Identify the number that completes the final pair.

5284 : 5303
7416 : 7435
? : 8627

The correct option is 8608.

To find the missing number that completes the final pair, we need to determine the constant whole-number operation used to transform the first value into the second value in each pair.

Step 1: Analyze the first pair (5284 : 5303)
Find the difference between the second number and the first number:

$5303-5284=19$

The operation adds 19 to the first number to get the second number.

Step 2: Verify the pattern with the second pair (7416 : 7435)
Find the difference between the second number and the first number:

$7435-7416=19$

The pattern is verified: adding 19 to the first number gives the second number.

Step 3: Calculate the missing number in the third pair (? : 8627)
Let the missing number be represented by $x$. Using the same addition rule:

$x+19=8627$

Subtract 19 from 8627 to find the value of $x$:

$x=8627-19$

$x=8608$

Thus, the number that completes the final pair is 8608.