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Finding the Fourth Proportional to 3,589.68, 5,376.12 and 2,761.38

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Solution

The fourth proportional to 3,589.68, 5,376.12 and 2,761.38 is: 4,135.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589.68 : 5,376.12 = 2,761.38 : x
  2. Step 2: Convert to fraction form
    3,589.68/5,376.12 = 2,761.38/x
  3. Step 3: Cross multiply
    3,589.68x = 5,376.12 × 2,761.38
  4. Step 4: Simplify right side
    3,589.68x = 14,845,510.25
  5. Step 5: Solve for x
    x = 14,845,510.25/3,589.68
  6. Step 6: Final answer
    x = 4,135.61

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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.