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Finding the Fourth Proportional to 5,760.36, 7,949.27 and 3,242.47

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Solution

The fourth proportional to 5,760.36, 7,949.27 and 3,242.47 is: 4,474.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,760.36 : 7,949.27 = 3,242.47 : x
  2. Step 2: Convert to fraction form
    5,760.36/7,949.27 = 3,242.47/x
  3. Step 3: Cross multiply
    5,760.36x = 7,949.27 × 3,242.47
  4. Step 4: Simplify right side
    5,760.36x = 25,775,229.75
  5. Step 5: Solve for x
    x = 25,775,229.75/5,760.36
  6. Step 6: Final answer
    x = 4,474.59

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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.