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Finding the Fourth Proportional to 3,863.24, 5,791.26 and 1,397.48

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Solution

The fourth proportional to 3,863.24, 5,791.26 and 1,397.48 is: 2,094.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.24 : 5,791.26 = 1,397.48 : x
  2. Step 2: Convert to fraction form
    3,863.24/5,791.26 = 1,397.48/x
  3. Step 3: Cross multiply
    3,863.24x = 5,791.26 × 1,397.48
  4. Step 4: Simplify right side
    3,863.24x = 8,093,170.02
  5. Step 5: Solve for x
    x = 8,093,170.02/3,863.24
  6. Step 6: Final answer
    x = 2,094.92

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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.