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Finding the Fourth Proportional to 3,858.92, 5,791.30 and 2,542.22

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Solution

The fourth proportional to 3,858.92, 5,791.30 and 2,542.22 is: 3,815.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.92 : 5,791.30 = 2,542.22 : x
  2. Step 2: Convert to fraction form
    3,858.92/5,791.30 = 2,542.22/x
  3. Step 3: Cross multiply
    3,858.92x = 5,791.30 × 2,542.22
  4. Step 4: Simplify right side
    3,858.92x = 14,722,745.09
  5. Step 5: Solve for x
    x = 14,722,745.09/3,858.92
  6. Step 6: Final answer
    x = 3,815.25

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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.