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Finding the Fourth Proportional to 5,902.68, 8,142.85 and 3,667.15

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Solution

The fourth proportional to 5,902.68, 8,142.85 and 3,667.15 is: 5,058.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.68 : 8,142.85 = 3,667.15 : x
  2. Step 2: Convert to fraction form
    5,902.68/8,142.85 = 3,667.15/x
  3. Step 3: Cross multiply
    5,902.68x = 8,142.85 × 3,667.15
  4. Step 4: Simplify right side
    5,902.68x = 29,861,052.38
  5. Step 5: Solve for x
    x = 29,861,052.38/5,902.68
  6. Step 6: Final answer
    x = 5,058.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.