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Finding the Fourth Proportional to 5,760.24, 7,951.59 and 3,872.92

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Solution

The fourth proportional to 5,760.24, 7,951.59 and 3,872.92 is: 5,346.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,760.24 : 7,951.59 = 3,872.92 : x
  2. Step 2: Convert to fraction form
    5,760.24/7,951.59 = 3,872.92/x
  3. Step 3: Cross multiply
    5,760.24x = 7,951.59 × 3,872.92
  4. Step 4: Simplify right side
    5,760.24x = 30,795,871.94
  5. Step 5: Solve for x
    x = 30,795,871.94/5,760.24
  6. Step 6: Final answer
    x = 5,346.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.