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Finding the Fourth Proportional to 3,860.92, 5,791.34 and 939.23

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Solution

The fourth proportional to 3,860.92, 5,791.34 and 939.23 is: 1,408.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,860.92 : 5,791.34 = 939.23 : x
  2. Step 2: Convert to fraction form
    3,860.92/5,791.34 = 939.23/x
  3. Step 3: Cross multiply
    3,860.92x = 5,791.34 × 939.23
  4. Step 4: Simplify right side
    3,860.92x = 5,439,388.33
  5. Step 5: Solve for x
    x = 5,439,388.33/3,860.92
  6. Step 6: Final answer
    x = 1,408.83

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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.