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Finding the Fourth Proportional to 3,896.78, 5,377.19 and 2,218.59

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Solution

The fourth proportional to 3,896.78, 5,377.19 and 2,218.59 is: 3,061.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.78 : 5,377.19 = 2,218.59 : x
  2. Step 2: Convert to fraction form
    3,896.78/5,377.19 = 2,218.59/x
  3. Step 3: Cross multiply
    3,896.78x = 5,377.19 × 2,218.59
  4. Step 4: Simplify right side
    3,896.78x = 11,929,768.87
  5. Step 5: Solve for x
    x = 11,929,768.87/3,896.78
  6. Step 6: Final answer
    x = 3,061.45

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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.