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Finding the Fourth Proportional to 4,553.97, 6,284.43 and 2,565.15

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Solution

The fourth proportional to 4,553.97, 6,284.43 and 2,565.15 is: 3,539.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,553.97 : 6,284.43 = 2,565.15 : x
  2. Step 2: Convert to fraction form
    4,553.97/6,284.43 = 2,565.15/x
  3. Step 3: Cross multiply
    4,553.97x = 6,284.43 × 2,565.15
  4. Step 4: Simplify right side
    4,553.97x = 16,120,505.61
  5. Step 5: Solve for x
    x = 16,120,505.61/4,553.97
  6. Step 6: Final answer
    x = 3,539.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.