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Finding the Fourth Proportional to 3,399.50, 5,072.97 and 3,031.35

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Solution

The fourth proportional to 3,399.50, 5,072.97 and 3,031.35 is: 4,523.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,399.50 : 5,072.97 = 3,031.35 : x
  2. Step 2: Convert to fraction form
    3,399.50/5,072.97 = 3,031.35/x
  3. Step 3: Cross multiply
    3,399.50x = 5,072.97 × 3,031.35
  4. Step 4: Simplify right side
    3,399.50x = 15,377,947.61
  5. Step 5: Solve for x
    x = 15,377,947.61/3,399.50
  6. Step 6: Final answer
    x = 4,523.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.