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Finding the Fourth Proportional to 3,398.12, 5,097.10 and 932.92

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Solution

The fourth proportional to 3,398.12, 5,097.10 and 932.92 is: 1,399.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398.12 : 5,097.10 = 932.92 : x
  2. Step 2: Convert to fraction form
    3,398.12/5,097.10 = 932.92/x
  3. Step 3: Cross multiply
    3,398.12x = 5,097.10 × 932.92
  4. Step 4: Simplify right side
    3,398.12x = 4,755,186.53
  5. Step 5: Solve for x
    x = 4,755,186.53/3,398.12
  6. Step 6: Final answer
    x = 1,399.36

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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.