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Finding the Fourth Proportional to 4,363.92, 6,537 and 3,487.89

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Solution

The fourth proportional to 4,363.92, 6,537 and 3,487.89 is: 5,224.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,363.92 : 6,537 = 3,487.89 : x
  2. Step 2: Convert to fraction form
    4,363.92/6,537 = 3,487.89/x
  3. Step 3: Cross multiply
    4,363.92x = 6,537 × 3,487.89
  4. Step 4: Simplify right side
    4,363.92x = 22,800,336.93
  5. Step 5: Solve for x
    x = 22,800,336.93/4,363.92
  6. Step 6: Final answer
    x = 5,224.74

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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.