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Finding the Fourth Proportional to 3,644.92, 5,469.17 and 2,257.88

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Solution

The fourth proportional to 3,644.92, 5,469.17 and 2,257.88 is: 3,387.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.92 : 5,469.17 = 2,257.88 : x
  2. Step 2: Convert to fraction form
    3,644.92/5,469.17 = 2,257.88/x
  3. Step 3: Cross multiply
    3,644.92x = 5,469.17 × 2,257.88
  4. Step 4: Simplify right side
    3,644.92x = 12,348,729.56
  5. Step 5: Solve for x
    x = 12,348,729.56/3,644.92
  6. Step 6: Final answer
    x = 3,387.93

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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.