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Finding the Fourth Proportional to 3,791.26, 5,705.52 and 3,138.40

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Solution

The fourth proportional to 3,791.26, 5,705.52 and 3,138.40 is: 4,723.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.26 : 5,705.52 = 3,138.40 : x
  2. Step 2: Convert to fraction form
    3,791.26/5,705.52 = 3,138.40/x
  3. Step 3: Cross multiply
    3,791.26x = 5,705.52 × 3,138.40
  4. Step 4: Simplify right side
    3,791.26x = 17,906,203.97
  5. Step 5: Solve for x
    x = 17,906,203.97/3,791.26
  6. Step 6: Final answer
    x = 4,723.02

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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.