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Finding the Fourth Proportional to 3,286.72, 4,930.12 and 1,337.56

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Solution

The fourth proportional to 3,286.72, 4,930.12 and 1,337.56 is: 2,006.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.72 : 4,930.12 = 1,337.56 : x
  2. Step 2: Convert to fraction form
    3,286.72/4,930.12 = 1,337.56/x
  3. Step 3: Cross multiply
    3,286.72x = 4,930.12 × 1,337.56
  4. Step 4: Simplify right side
    3,286.72x = 6,594,331.31
  5. Step 5: Solve for x
    x = 6,594,331.31/3,286.72
  6. Step 6: Final answer
    x = 2,006.36

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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.