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Finding the Fourth Proportional to 3,658.60, 5,487.91 and 1,468.87

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Solution

The fourth proportional to 3,658.60, 5,487.91 and 1,468.87 is: 2,203.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.60 : 5,487.91 = 1,468.87 : x
  2. Step 2: Convert to fraction form
    3,658.60/5,487.91 = 1,468.87/x
  3. Step 3: Cross multiply
    3,658.60x = 5,487.91 × 1,468.87
  4. Step 4: Simplify right side
    3,658.60x = 8,061,008.97
  5. Step 5: Solve for x
    x = 8,061,008.97/3,658.60
  6. Step 6: Final answer
    x = 2,203.31

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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.