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Finding the Fourth Proportional to 3,900.34, 5,850.69 and 2,167.66

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Solution

The fourth proportional to 3,900.34, 5,850.69 and 2,167.66 is: 3,251.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,900.34 : 5,850.69 = 2,167.66 : x
  2. Step 2: Convert to fraction form
    3,900.34/5,850.69 = 2,167.66/x
  3. Step 3: Cross multiply
    3,900.34x = 5,850.69 × 2,167.66
  4. Step 4: Simplify right side
    3,900.34x = 12,682,306.69
  5. Step 5: Solve for x
    x = 12,682,306.69/3,900.34
  6. Step 6: Final answer
    x = 3,251.59

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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.