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Finding the Fourth Proportional to 3,854.31, 5,781.39 and 932.58

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Solution

The fourth proportional to 3,854.31, 5,781.39 and 932.58 is: 1,398.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.31 : 5,781.39 = 932.58 : x
  2. Step 2: Convert to fraction form
    3,854.31/5,781.39 = 932.58/x
  3. Step 3: Cross multiply
    3,854.31x = 5,781.39 × 932.58
  4. Step 4: Simplify right side
    3,854.31x = 5,391,608.69
  5. Step 5: Solve for x
    x = 5,391,608.69/3,854.31
  6. Step 6: Final answer
    x = 1,398.85

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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.