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Finding the Fourth Proportional to 3,896.73, 5,377.82 and 2,218.68

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Solution

The fourth proportional to 3,896.73, 5,377.82 and 2,218.68 is: 3,061.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.73 : 5,377.82 = 2,218.68 : x
  2. Step 2: Convert to fraction form
    3,896.73/5,377.82 = 2,218.68/x
  3. Step 3: Cross multiply
    3,896.73x = 5,377.82 × 2,218.68
  4. Step 4: Simplify right side
    3,896.73x = 11,931,650.58
  5. Step 5: Solve for x
    x = 11,931,650.58/3,896.73
  6. Step 6: Final answer
    x = 3,061.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.