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Finding the Fourth Proportional to 4,098.71, 6,148.10 and 2,543.24

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Solution

The fourth proportional to 4,098.71, 6,148.10 and 2,543.24 is: 3,814.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098.71 : 6,148.10 = 2,543.24 : x
  2. Step 2: Convert to fraction form
    4,098.71/6,148.10 = 2,543.24/x
  3. Step 3: Cross multiply
    4,098.71x = 6,148.10 × 2,543.24
  4. Step 4: Simplify right side
    4,098.71x = 15,636,115.57
  5. Step 5: Solve for x
    x = 15,636,115.57/4,098.71
  6. Step 6: Final answer
    x = 3,814.88

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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.