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Finding the Fourth Proportional to 8,589.25, 12,889.37 and 3,658.92

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Solution

The fourth proportional to 8,589.25, 12,889.37 and 3,658.92 is: 5,490.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,589.25 : 12,889.37 = 3,658.92 : x
  2. Step 2: Convert to fraction form
    8,589.25/12,889.37 = 3,658.92/x
  3. Step 3: Cross multiply
    8,589.25x = 12,889.37 × 3,658.92
  4. Step 4: Simplify right side
    8,589.25x = 47,161,173.68
  5. Step 5: Solve for x
    x = 47,161,173.68/8,589.25
  6. Step 6: Final answer
    x = 5,490.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.