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Finding the Fourth Proportional to 3,791.59, 5,689.68 and 2,234.62

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Solution

The fourth proportional to 3,791.59, 5,689.68 and 2,234.62 is: 3,353.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.59 : 5,689.68 = 2,234.62 : x
  2. Step 2: Convert to fraction form
    3,791.59/5,689.68 = 2,234.62/x
  3. Step 3: Cross multiply
    3,791.59x = 5,689.68 × 2,234.62
  4. Step 4: Simplify right side
    3,791.59x = 12,714,272.72
  5. Step 5: Solve for x
    x = 12,714,272.72/3,791.59
  6. Step 6: Final answer
    x = 3,353.28

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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.