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Finding the Fourth Proportional to 5,760.56, 7,949.40 and 3,242.82

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Solution

The fourth proportional to 5,760.56, 7,949.40 and 3,242.82 is: 4,474.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,760.56 : 7,949.40 = 3,242.82 : x
  2. Step 2: Convert to fraction form
    5,760.56/7,949.40 = 3,242.82/x
  3. Step 3: Cross multiply
    5,760.56x = 7,949.40 × 3,242.82
  4. Step 4: Simplify right side
    5,760.56x = 25,778,473.31
  5. Step 5: Solve for x
    x = 25,778,473.31/5,760.56
  6. Step 6: Final answer
    x = 4,474.99

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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.