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Finding the Fourth Proportional to 3,900.40, 5,850.56 and 2,255.90

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Solution

The fourth proportional to 3,900.40, 5,850.56 and 2,255.90 is: 3,383.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,900.40 : 5,850.56 = 2,255.90 : x
  2. Step 2: Convert to fraction form
    3,900.40/5,850.56 = 2,255.90/x
  3. Step 3: Cross multiply
    3,900.40x = 5,850.56 × 2,255.90
  4. Step 4: Simplify right side
    3,900.40x = 13,198,278.30
  5. Step 5: Solve for x
    x = 13,198,278.30/3,900.40
  6. Step 6: Final answer
    x = 3,383.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.