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Finding the Fourth Proportional to 3,789.67, 5,229.27 and 2,111

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Solution

The fourth proportional to 3,789.67, 5,229.27 and 2,111 is: 2,912.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,789.67 : 5,229.27 = 2,111 : x
  2. Step 2: Convert to fraction form
    3,789.67/5,229.27 = 2,111/x
  3. Step 3: Cross multiply
    3,789.67x = 5,229.27 × 2,111
  4. Step 4: Simplify right side
    3,789.67x = 11,038,988.97
  5. Step 5: Solve for x
    x = 11,038,988.97/3,789.67
  6. Step 6: Final answer
    x = 2,912.92

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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.