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Finding the Fourth Proportional to 3,791.37, 5,687.97 and 1,194.31

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Solution

The fourth proportional to 3,791.37, 5,687.97 and 1,194.31 is: 1,791.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.37 : 5,687.97 = 1,194.31 : x
  2. Step 2: Convert to fraction form
    3,791.37/5,687.97 = 1,194.31/x
  3. Step 3: Cross multiply
    3,791.37x = 5,687.97 × 1,194.31
  4. Step 4: Simplify right side
    3,791.37x = 6,793,202.08
  5. Step 5: Solve for x
    x = 6,793,202.08/3,791.37
  6. Step 6: Final answer
    x = 1,791.75

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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.