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Finding the Fourth Proportional to 3,397.14, 5,096.10 and 932.04

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Solution

The fourth proportional to 3,397.14, 5,096.10 and 932.04 is: 1,398.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.14 : 5,096.10 = 932.04 : x
  2. Step 2: Convert to fraction form
    3,397.14/5,096.10 = 932.04/x
  3. Step 3: Cross multiply
    3,397.14x = 5,096.10 × 932.04
  4. Step 4: Simplify right side
    3,397.14x = 4,749,769.04
  5. Step 5: Solve for x
    x = 4,749,769.04/3,397.14
  6. Step 6: Final answer
    x = 1,398.17

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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.