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Finding the Fourth Proportional to 3,840.44, 5,760.46 and 2,174.68

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Solution

The fourth proportional to 3,840.44, 5,760.46 and 2,174.68 is: 3,261.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.44 : 5,760.46 = 2,174.68 : x
  2. Step 2: Convert to fraction form
    3,840.44/5,760.46 = 2,174.68/x
  3. Step 3: Cross multiply
    3,840.44x = 5,760.46 × 2,174.68
  4. Step 4: Simplify right side
    3,840.44x = 12,527,157.15
  5. Step 5: Solve for x
    x = 12,527,157.15/3,840.44
  6. Step 6: Final answer
    x = 3,261.91

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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.