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Finding the Fourth Proportional to 3,840.57, 5,760.96 and 1,067.25

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Solution

The fourth proportional to 3,840.57, 5,760.96 and 1,067.25 is: 1,600.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.57 : 5,760.96 = 1,067.25 : x
  2. Step 2: Convert to fraction form
    3,840.57/5,760.96 = 1,067.25/x
  3. Step 3: Cross multiply
    3,840.57x = 5,760.96 × 1,067.25
  4. Step 4: Simplify right side
    3,840.57x = 6,148,384.56
  5. Step 5: Solve for x
    x = 6,148,384.56/3,840.57
  6. Step 6: Final answer
    x = 1,600.90

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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.