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Finding the Fourth Proportional to 3,791.30, 5,200.89 and 3,742.70

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Solution

The fourth proportional to 3,791.30, 5,200.89 and 3,742.70 is: 5,134.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.30 : 5,200.89 = 3,742.70 : x
  2. Step 2: Convert to fraction form
    3,791.30/5,200.89 = 3,742.70/x
  3. Step 3: Cross multiply
    3,791.30x = 5,200.89 × 3,742.70
  4. Step 4: Simplify right side
    3,791.30x = 19,465,352.29
  5. Step 5: Solve for x
    x = 19,465,352.29/3,791.30
  6. Step 6: Final answer
    x = 5,134.22

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.