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Finding the Fourth Proportional to 3,761.28, 5,641.11 and 1,163.61

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Solution

The fourth proportional to 3,761.28, 5,641.11 and 1,163.61 is: 1,745.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.28 : 5,641.11 = 1,163.61 : x
  2. Step 2: Convert to fraction form
    3,761.28/5,641.11 = 1,163.61/x
  3. Step 3: Cross multiply
    3,761.28x = 5,641.11 × 1,163.61
  4. Step 4: Simplify right side
    3,761.28x = 6,564,052.01
  5. Step 5: Solve for x
    x = 6,564,052.01/3,761.28
  6. Step 6: Final answer
    x = 1,745.16

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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.