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Finding the Fourth Proportional to 3,860.83, 5,791.27 and 939.14

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Solution

The fourth proportional to 3,860.83, 5,791.27 and 939.14 is: 1,408.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,860.83 : 5,791.27 = 939.14 : x
  2. Step 2: Convert to fraction form
    3,860.83/5,791.27 = 939.14/x
  3. Step 3: Cross multiply
    3,860.83x = 5,791.27 × 939.14
  4. Step 4: Simplify right side
    3,860.83x = 5,438,813.31
  5. Step 5: Solve for x
    x = 5,438,813.31/3,860.83
  6. Step 6: Final answer
    x = 1,408.72

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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.