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Finding the Fourth Proportional to 3,840.16, 5,760.24 and 1,374.52

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Solution

The fourth proportional to 3,840.16, 5,760.24 and 1,374.52 is: 2,061.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.16 : 5,760.24 = 1,374.52 : x
  2. Step 2: Convert to fraction form
    3,840.16/5,760.24 = 1,374.52/x
  3. Step 3: Cross multiply
    3,840.16x = 5,760.24 × 1,374.52
  4. Step 4: Simplify right side
    3,840.16x = 7,917,565.08
  5. Step 5: Solve for x
    x = 7,917,565.08/3,840.16
  6. Step 6: Final answer
    x = 2,061.78

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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.