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Finding the Fourth Proportional to 3,731.56, 5,147.40 and 3,451.60

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Solution

The fourth proportional to 3,731.56, 5,147.40 and 3,451.60 is: 4,761.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,731.56 : 5,147.40 = 3,451.60 : x
  2. Step 2: Convert to fraction form
    3,731.56/5,147.40 = 3,451.60/x
  3. Step 3: Cross multiply
    3,731.56x = 5,147.40 × 3,451.60
  4. Step 4: Simplify right side
    3,731.56x = 17,766,765.84
  5. Step 5: Solve for x
    x = 17,766,765.84/3,731.56
  6. Step 6: Final answer
    x = 4,761.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.