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Finding the Fourth Proportional to 3,599.52, 5,399.69 and 1,519.14

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Solution

The fourth proportional to 3,599.52, 5,399.69 and 1,519.14 is: 2,278.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,599.52 : 5,399.69 = 1,519.14 : x
  2. Step 2: Convert to fraction form
    3,599.52/5,399.69 = 1,519.14/x
  3. Step 3: Cross multiply
    3,599.52x = 5,399.69 × 1,519.14
  4. Step 4: Simplify right side
    3,599.52x = 8,202,877.47
  5. Step 5: Solve for x
    x = 8,202,877.47/3,599.52
  6. Step 6: Final answer
    x = 2,278.88

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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.