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Finding the Fourth Proportional to 5,489.57, 8,234.61 and 1,791.78

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Solution

The fourth proportional to 5,489.57, 8,234.61 and 1,791.78 is: 2,687.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.57 : 8,234.61 = 1,791.78 : x
  2. Step 2: Convert to fraction form
    5,489.57/8,234.61 = 1,791.78/x
  3. Step 3: Cross multiply
    5,489.57x = 8,234.61 × 1,791.78
  4. Step 4: Simplify right side
    5,489.57x = 14,754,609.51
  5. Step 5: Solve for x
    x = 14,754,609.51/5,489.57
  6. Step 6: Final answer
    x = 2,687.76

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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.