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Finding the Fourth Proportional to 3,761.28, 5,644.08 and 3,242.88

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Solution

The fourth proportional to 3,761.28, 5,644.08 and 3,242.88 is: 4,866.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.28 : 5,644.08 = 3,242.88 : x
  2. Step 2: Convert to fraction form
    3,761.28/5,644.08 = 3,242.88/x
  3. Step 3: Cross multiply
    3,761.28x = 5,644.08 × 3,242.88
  4. Step 4: Simplify right side
    3,761.28x = 18,303,074.15
  5. Step 5: Solve for x
    x = 18,303,074.15/3,761.28
  6. Step 6: Final answer
    x = 4,866.18

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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.