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Finding the Fourth Proportional to 3,935.99, 5,906.04 and 1,744.21

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Solution

The fourth proportional to 3,935.99, 5,906.04 and 1,744.21 is: 2,617.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,935.99 : 5,906.04 = 1,744.21 : x
  2. Step 2: Convert to fraction form
    3,935.99/5,906.04 = 1,744.21/x
  3. Step 3: Cross multiply
    3,935.99x = 5,906.04 × 1,744.21
  4. Step 4: Simplify right side
    3,935.99x = 10,301,335.78
  5. Step 5: Solve for x
    x = 10,301,335.78/3,935.99
  6. Step 6: Final answer
    x = 2,617.22

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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.