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Finding the Fourth Proportional to 3,936.66, 5,906.02 and 1,744.87

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Solution

The fourth proportional to 3,936.66, 5,906.02 and 1,744.87 is: 2,617.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,936.66 : 5,906.02 = 1,744.87 : x
  2. Step 2: Convert to fraction form
    3,936.66/5,906.02 = 1,744.87/x
  3. Step 3: Cross multiply
    3,936.66x = 5,906.02 × 1,744.87
  4. Step 4: Simplify right side
    3,936.66x = 10,305,237.12
  5. Step 5: Solve for x
    x = 10,305,237.12/3,936.66
  6. Step 6: Final answer
    x = 2,617.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.