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Finding the Fourth Proportional to 3,896.67, 5,847.39 and 2,049.11

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Solution

The fourth proportional to 3,896.67, 5,847.39 and 2,049.11 is: 3,074.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.67 : 5,847.39 = 2,049.11 : x
  2. Step 2: Convert to fraction form
    3,896.67/5,847.39 = 2,049.11/x
  3. Step 3: Cross multiply
    3,896.67x = 5,847.39 × 2,049.11
  4. Step 4: Simplify right side
    3,896.67x = 11,981,970.91
  5. Step 5: Solve for x
    x = 11,981,970.91/3,896.67
  6. Step 6: Final answer
    x = 3,074.92

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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.