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Finding the Fourth Proportional to 3,936.50, 5,912.84 and 3,805.28

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Solution

The fourth proportional to 3,936.50, 5,912.84 and 3,805.28 is: 5,715.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,936.50 : 5,912.84 = 3,805.28 : x
  2. Step 2: Convert to fraction form
    3,936.50/5,912.84 = 3,805.28/x
  3. Step 3: Cross multiply
    3,936.50x = 5,912.84 × 3,805.28
  4. Step 4: Simplify right side
    3,936.50x = 22,500,011.80
  5. Step 5: Solve for x
    x = 22,500,011.80/3,936.50
  6. Step 6: Final answer
    x = 5,715.74

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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.