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Finding the Fourth Proportional to 3,397.17, 5,095.91 and 932.24

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Solution

The fourth proportional to 3,397.17, 5,095.91 and 932.24 is: 1,398.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.17 : 5,095.91 = 932.24 : x
  2. Step 2: Convert to fraction form
    3,397.17/5,095.91 = 932.24/x
  3. Step 3: Cross multiply
    3,397.17x = 5,095.91 × 932.24
  4. Step 4: Simplify right side
    3,397.17x = 4,750,626.21
  5. Step 5: Solve for x
    x = 4,750,626.21/3,397.17
  6. Step 6: Final answer
    x = 1,398.41

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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.