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Finding the Fourth Proportional to 3,840.44, 5,760.46 and 1,067.27

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Solution

The fourth proportional to 3,840.44, 5,760.46 and 1,067.27 is: 1,600.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.44 : 5,760.46 = 1,067.27 : x
  2. Step 2: Convert to fraction form
    3,840.44/5,760.46 = 1,067.27/x
  3. Step 3: Cross multiply
    3,840.44x = 5,760.46 × 1,067.27
  4. Step 4: Simplify right side
    3,840.44x = 6,147,960.81
  5. Step 5: Solve for x
    x = 6,147,960.81/3,840.44
  6. Step 6: Final answer
    x = 1,600.85

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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.