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Finding the Fourth Proportional to 3,900.42, 5,850.90 and 2,257.11

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Solution

The fourth proportional to 3,900.42, 5,850.90 and 2,257.11 is: 3,385.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,900.42 : 5,850.90 = 2,257.11 : x
  2. Step 2: Convert to fraction form
    3,900.42/5,850.90 = 2,257.11/x
  3. Step 3: Cross multiply
    3,900.42x = 5,850.90 × 2,257.11
  4. Step 4: Simplify right side
    3,900.42x = 13,206,124.90
  5. Step 5: Solve for x
    x = 13,206,124.90/3,900.42
  6. Step 6: Final answer
    x = 3,385.82

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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.