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Finding the Fourth Proportional to 3,805, 5,255.99 and 3,061.79

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Solution

The fourth proportional to 3,805, 5,255.99 and 3,061.79 is: 4,229.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805 : 5,255.99 = 3,061.79 : x
  2. Step 2: Convert to fraction form
    3,805/5,255.99 = 3,061.79/x
  3. Step 3: Cross multiply
    3,805x = 5,255.99 × 3,061.79
  4. Step 4: Simplify right side
    3,805x = 16,092,737.62
  5. Step 5: Solve for x
    x = 16,092,737.62/3,805
  6. Step 6: Final answer
    x = 4,229.37

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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.