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Finding the Fourth Proportional to 5,286.74, 7,930.17 and 2,125.64

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Solution

The fourth proportional to 5,286.74, 7,930.17 and 2,125.64 is: 3,188.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.74 : 7,930.17 = 2,125.64 : x
  2. Step 2: Convert to fraction form
    5,286.74/7,930.17 = 2,125.64/x
  3. Step 3: Cross multiply
    5,286.74x = 7,930.17 × 2,125.64
  4. Step 4: Simplify right side
    5,286.74x = 16,856,723.11
  5. Step 5: Solve for x
    x = 16,856,723.11/5,286.74
  6. Step 6: Final answer
    x = 3,188.49

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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.