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Finding the Fourth Proportional to 3,842.20, 5,757.90 and 1,531

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Solution

The fourth proportional to 3,842.20, 5,757.90 and 1,531 is: 2,294.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.20 : 5,757.90 = 1,531 : x
  2. Step 2: Convert to fraction form
    3,842.20/5,757.90 = 1,531/x
  3. Step 3: Cross multiply
    3,842.20x = 5,757.90 × 1,531
  4. Step 4: Simplify right side
    3,842.20x = 8,815,344.90
  5. Step 5: Solve for x
    x = 8,815,344.90/3,842.20
  6. Step 6: Final answer
    x = 2,294.35

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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.