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Finding the Fourth Proportional to 5,772.24, 7,966.08 and 3,414.96

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Solution

The fourth proportional to 5,772.24, 7,966.08 and 3,414.96 is: 4,712.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,772.24 : 7,966.08 = 3,414.96 : x
  2. Step 2: Convert to fraction form
    5,772.24/7,966.08 = 3,414.96/x
  3. Step 3: Cross multiply
    5,772.24x = 7,966.08 × 3,414.96
  4. Step 4: Simplify right side
    5,772.24x = 27,203,844.56
  5. Step 5: Solve for x
    x = 27,203,844.56/5,772.24
  6. Step 6: Final answer
    x = 4,712.87

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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.