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Finding the Fourth Proportional to 3,854.14, 5,781.22 and 932.44

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Solution

The fourth proportional to 3,854.14, 5,781.22 and 932.44 is: 1,398.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.14 : 5,781.22 = 932.44 : x
  2. Step 2: Convert to fraction form
    3,854.14/5,781.22 = 932.44/x
  3. Step 3: Cross multiply
    3,854.14x = 5,781.22 × 932.44
  4. Step 4: Simplify right side
    3,854.14x = 5,390,640.78
  5. Step 5: Solve for x
    x = 5,390,640.78/3,854.14
  6. Step 6: Final answer
    x = 1,398.66

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Why These Related Problems?

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