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Finding the Fourth Proportional to 3,397.81, 5,098.17 and 1,838.90

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Solution

The fourth proportional to 3,397.81, 5,098.17 and 1,838.90 is: 2,759.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.81 : 5,098.17 = 1,838.90 : x
  2. Step 2: Convert to fraction form
    3,397.81/5,098.17 = 1,838.90/x
  3. Step 3: Cross multiply
    3,397.81x = 5,098.17 × 1,838.90
  4. Step 4: Simplify right side
    3,397.81x = 9,375,024.81
  5. Step 5: Solve for x
    x = 9,375,024.81/3,397.81
  6. Step 6: Final answer
    x = 2,759.14

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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.