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Finding the Fourth Proportional to 5,167.89, 7,747.29 and 2,050.09

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Solution

The fourth proportional to 5,167.89, 7,747.29 and 2,050.09 is: 3,073.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,167.89 : 7,747.29 = 2,050.09 : x
  2. Step 2: Convert to fraction form
    5,167.89/7,747.29 = 2,050.09/x
  3. Step 3: Cross multiply
    5,167.89x = 7,747.29 × 2,050.09
  4. Step 4: Simplify right side
    5,167.89x = 15,882,632.57
  5. Step 5: Solve for x
    x = 15,882,632.57/5,167.89
  6. Step 6: Final answer
    x = 3,073.33

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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.