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Finding the Fourth Proportional to 4,509.28, 6,229.38 and 3,723.04

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Solution

The fourth proportional to 4,509.28, 6,229.38 and 3,723.04 is: 5,143.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,509.28 : 6,229.38 = 3,723.04 : x
  2. Step 2: Convert to fraction form
    4,509.28/6,229.38 = 3,723.04/x
  3. Step 3: Cross multiply
    4,509.28x = 6,229.38 × 3,723.04
  4. Step 4: Simplify right side
    4,509.28x = 23,192,230.92
  5. Step 5: Solve for x
    x = 23,192,230.92/4,509.28
  6. Step 6: Final answer
    x = 5,143.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.