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Finding the Fourth Proportional to 3,840.32, 5,760.50 and 1,067.15

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Solution

The fourth proportional to 3,840.32, 5,760.50 and 1,067.15 is: 1,600.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.32 : 5,760.50 = 1,067.15 : x
  2. Step 2: Convert to fraction form
    3,840.32/5,760.50 = 1,067.15/x
  3. Step 3: Cross multiply
    3,840.32x = 5,760.50 × 1,067.15
  4. Step 4: Simplify right side
    3,840.32x = 6,147,283.44
  5. Step 5: Solve for x
    x = 6,147,283.44/3,840.32
  6. Step 6: Final answer
    x = 1,600.72

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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.