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Finding the Fourth Proportional to 5,172.84, 7,759.26 and 1,277.19

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Solution

The fourth proportional to 5,172.84, 7,759.26 and 1,277.19 is: 1,915.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,172.84 : 7,759.26 = 1,277.19 : x
  2. Step 2: Convert to fraction form
    5,172.84/7,759.26 = 1,277.19/x
  3. Step 3: Cross multiply
    5,172.84x = 7,759.26 × 1,277.19
  4. Step 4: Simplify right side
    5,172.84x = 9,910,049.28
  5. Step 5: Solve for x
    x = 9,910,049.28/5,172.84
  6. Step 6: Final answer
    x = 1,915.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.