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Finding the Fourth Proportional to 5,882.60, 8,125.08 and 4,691.72

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Solution

The fourth proportional to 5,882.60, 8,125.08 and 4,691.72 is: 6,480.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,882.60 : 8,125.08 = 4,691.72 : x
  2. Step 2: Convert to fraction form
    5,882.60/8,125.08 = 4,691.72/x
  3. Step 3: Cross multiply
    5,882.60x = 8,125.08 × 4,691.72
  4. Step 4: Simplify right side
    5,882.60x = 38,120,600.34
  5. Step 5: Solve for x
    x = 38,120,600.34/5,882.60
  6. Step 6: Final answer
    x = 6,480.23

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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.