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Finding the Fourth Proportional to 3,939.73, 5,909.97 and 1,306.67

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Solution

The fourth proportional to 3,939.73, 5,909.97 and 1,306.67 is: 1,960.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,939.73 : 5,909.97 = 1,306.67 : x
  2. Step 2: Convert to fraction form
    3,939.73/5,909.97 = 1,306.67/x
  3. Step 3: Cross multiply
    3,939.73x = 5,909.97 × 1,306.67
  4. Step 4: Simplify right side
    3,939.73x = 7,722,380.50
  5. Step 5: Solve for x
    x = 7,722,380.50/3,939.73
  6. Step 6: Final answer
    x = 1,960.13

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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.