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Finding the Fourth Proportional to 5,616.64, 8,422.40 and 2,882.56

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Solution

The fourth proportional to 5,616.64, 8,422.40 and 2,882.56 is: 4,322.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,616.64 : 8,422.40 = 2,882.56 : x
  2. Step 2: Convert to fraction form
    5,616.64/8,422.40 = 2,882.56/x
  3. Step 3: Cross multiply
    5,616.64x = 8,422.40 × 2,882.56
  4. Step 4: Simplify right side
    5,616.64x = 24,278,073.34
  5. Step 5: Solve for x
    x = 24,278,073.34/5,616.64
  6. Step 6: Final answer
    x = 4,322.53

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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.