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Finding the Fourth Proportional to 6,689.52, 10,034.10 and 3,882.56

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Solution

The fourth proportional to 6,689.52, 10,034.10 and 3,882.56 is: 5,823.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689.52 : 10,034.10 = 3,882.56 : x
  2. Step 2: Convert to fraction form
    6,689.52/10,034.10 = 3,882.56/x
  3. Step 3: Cross multiply
    6,689.52x = 10,034.10 × 3,882.56
  4. Step 4: Simplify right side
    6,689.52x = 38,957,945.13
  5. Step 5: Solve for x
    x = 38,957,945.13/6,689.52
  6. Step 6: Final answer
    x = 5,823.73

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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.