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Finding the Fourth Proportional to 3,540.78, 5,309.19 and 3,141.09

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Solution

The fourth proportional to 3,540.78, 5,309.19 and 3,141.09 is: 4,709.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,540.78 : 5,309.19 = 3,141.09 : x
  2. Step 2: Convert to fraction form
    3,540.78/5,309.19 = 3,141.09/x
  3. Step 3: Cross multiply
    3,540.78x = 5,309.19 × 3,141.09
  4. Step 4: Simplify right side
    3,540.78x = 16,676,643.62
  5. Step 5: Solve for x
    x = 16,676,643.62/3,540.78
  6. Step 6: Final answer
    x = 4,709.88

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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.