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Finding the Fourth Proportional to 3,900.80, 5,381.84 and 2,221.94

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Solution

The fourth proportional to 3,900.80, 5,381.84 and 2,221.94 is: 3,065.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,900.80 : 5,381.84 = 2,221.94 : x
  2. Step 2: Convert to fraction form
    3,900.80/5,381.84 = 2,221.94/x
  3. Step 3: Cross multiply
    3,900.80x = 5,381.84 × 2,221.94
  4. Step 4: Simplify right side
    3,900.80x = 11,958,144.58
  5. Step 5: Solve for x
    x = 11,958,144.58/3,900.80
  6. Step 6: Final answer
    x = 3,065.56

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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.