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Finding the Fourth Proportional to 5,589.74, 8,385.66 and 2,668.25

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Solution

The fourth proportional to 5,589.74, 8,385.66 and 2,668.25 is: 4,002.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,589.74 : 8,385.66 = 2,668.25 : x
  2. Step 2: Convert to fraction form
    5,589.74/8,385.66 = 2,668.25/x
  3. Step 3: Cross multiply
    5,589.74x = 8,385.66 × 2,668.25
  4. Step 4: Simplify right side
    5,589.74x = 22,375,037.30
  5. Step 5: Solve for x
    x = 22,375,037.30/5,589.74
  6. Step 6: Final answer
    x = 4,002.88

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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.