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Finding the Fourth Proportional to 3,936.64, 5,902.21 and 1,744.17

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Solution

The fourth proportional to 3,936.64, 5,902.21 and 1,744.17 is: 2,615.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,936.64 : 5,902.21 = 1,744.17 : x
  2. Step 2: Convert to fraction form
    3,936.64/5,902.21 = 1,744.17/x
  3. Step 3: Cross multiply
    3,936.64x = 5,902.21 × 1,744.17
  4. Step 4: Simplify right side
    3,936.64x = 10,294,457.62
  5. Step 5: Solve for x
    x = 10,294,457.62/3,936.64
  6. Step 6: Final answer
    x = 2,615.04

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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.