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Finding the Fourth Proportional to 3,606.28, 5,414.09 and 3,458.20

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Solution

The fourth proportional to 3,606.28, 5,414.09 and 3,458.20 is: 5,191.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,606.28 : 5,414.09 = 3,458.20 : x
  2. Step 2: Convert to fraction form
    3,606.28/5,414.09 = 3,458.20/x
  3. Step 3: Cross multiply
    3,606.28x = 5,414.09 × 3,458.20
  4. Step 4: Simplify right side
    3,606.28x = 18,723,028.22
  5. Step 5: Solve for x
    x = 18,723,028.22/3,606.28
  6. Step 6: Final answer
    x = 5,191.78

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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.