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Finding the Fourth Proportional to 3,898.62, 5,380.41 and 2,220.06

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Solution

The fourth proportional to 3,898.62, 5,380.41 and 2,220.06 is: 3,063.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.62 : 5,380.41 = 2,220.06 : x
  2. Step 2: Convert to fraction form
    3,898.62/5,380.41 = 2,220.06/x
  3. Step 3: Cross multiply
    3,898.62x = 5,380.41 × 2,220.06
  4. Step 4: Simplify right side
    3,898.62x = 11,944,833.02
  5. Step 5: Solve for x
    x = 11,944,833.02/3,898.62
  6. Step 6: Final answer
    x = 3,063.86

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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.