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Finding the Fourth Proportional to 5,304.30, 7,952.32 and 2,380.56

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Solution

The fourth proportional to 5,304.30, 7,952.32 and 2,380.56 is: 3,568.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,304.30 : 7,952.32 = 2,380.56 : x
  2. Step 2: Convert to fraction form
    5,304.30/7,952.32 = 2,380.56/x
  3. Step 3: Cross multiply
    5,304.30x = 7,952.32 × 2,380.56
  4. Step 4: Simplify right side
    5,304.30x = 18,930,974.90
  5. Step 5: Solve for x
    x = 18,930,974.90/5,304.30
  6. Step 6: Final answer
    x = 3,568.99

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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.