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Finding the Fourth Proportional to 3,936.75, 5,906.48 and 1,747.01

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Solution

The fourth proportional to 3,936.75, 5,906.48 and 1,747.01 is: 2,621.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,936.75 : 5,906.48 = 1,747.01 : x
  2. Step 2: Convert to fraction form
    3,936.75/5,906.48 = 1,747.01/x
  3. Step 3: Cross multiply
    3,936.75x = 5,906.48 × 1,747.01
  4. Step 4: Simplify right side
    3,936.75x = 10,318,669.23
  5. Step 5: Solve for x
    x = 10,318,669.23/3,936.75
  6. Step 6: Final answer
    x = 2,621.12

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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.