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Finding the Fourth Proportional to 3,761.20, 5,640.18 and 1,163.56

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Solution

The fourth proportional to 3,761.20, 5,640.18 and 1,163.56 is: 1,744.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.20 : 5,640.18 = 1,163.56 : x
  2. Step 2: Convert to fraction form
    3,761.20/5,640.18 = 1,163.56/x
  3. Step 3: Cross multiply
    3,761.20x = 5,640.18 × 1,163.56
  4. Step 4: Simplify right side
    3,761.20x = 6,562,687.84
  5. Step 5: Solve for x
    x = 6,562,687.84/3,761.20
  6. Step 6: Final answer
    x = 1,744.84

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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.