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Finding the Fourth Proportional to 3,658.38, 5,487.72 and 3,046.41

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Solution

The fourth proportional to 3,658.38, 5,487.72 and 3,046.41 is: 4,569.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.38 : 5,487.72 = 3,046.41 : x
  2. Step 2: Convert to fraction form
    3,658.38/5,487.72 = 3,046.41/x
  3. Step 3: Cross multiply
    3,658.38x = 5,487.72 × 3,046.41
  4. Step 4: Simplify right side
    3,658.38x = 16,717,845.09
  5. Step 5: Solve for x
    x = 16,717,845.09/3,658.38
  6. Step 6: Final answer
    x = 4,569.74

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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.