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Finding the Fourth Proportional to 3,862.20, 5,791.32 and 1,264.80

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Solution

The fourth proportional to 3,862.20, 5,791.32 and 1,264.80 is: 1,896.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.20 : 5,791.32 = 1,264.80 : x
  2. Step 2: Convert to fraction form
    3,862.20/5,791.32 = 1,264.80/x
  3. Step 3: Cross multiply
    3,862.20x = 5,791.32 × 1,264.80
  4. Step 4: Simplify right side
    3,862.20x = 7,324,861.54
  5. Step 5: Solve for x
    x = 7,324,861.54/3,862.20
  6. Step 6: Final answer
    x = 1,896.55

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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.