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Finding the Fourth Proportional to 8,589.43, 12,889.02 and 3,658.56

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Solution

The fourth proportional to 8,589.43, 12,889.02 and 3,658.56 is: 5,489.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,589.43 : 12,889.02 = 3,658.56 : x
  2. Step 2: Convert to fraction form
    8,589.43/12,889.02 = 3,658.56/x
  3. Step 3: Cross multiply
    8,589.43x = 12,889.02 × 3,658.56
  4. Step 4: Simplify right side
    8,589.43x = 47,155,253.01
  5. Step 5: Solve for x
    x = 47,155,253.01/8,589.43
  6. Step 6: Final answer
    x = 5,489.92

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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.