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Finding the Fourth Proportional to 3,898.98, 5,380.89 and 2,220.46

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Solution

The fourth proportional to 3,898.98, 5,380.89 and 2,220.46 is: 3,064.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.98 : 5,380.89 = 2,220.46 : x
  2. Step 2: Convert to fraction form
    3,898.98/5,380.89 = 2,220.46/x
  3. Step 3: Cross multiply
    3,898.98x = 5,380.89 × 2,220.46
  4. Step 4: Simplify right side
    3,898.98x = 11,948,037.56
  5. Step 5: Solve for x
    x = 11,948,037.56/3,898.98
  6. Step 6: Final answer
    x = 3,064.40

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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.