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Finding the Fourth Proportional to 5,471.28, 8,200.04 and 3,133.22

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Solution

The fourth proportional to 5,471.28, 8,200.04 and 3,133.22 is: 4,695.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.28 : 8,200.04 = 3,133.22 : x
  2. Step 2: Convert to fraction form
    5,471.28/8,200.04 = 3,133.22/x
  3. Step 3: Cross multiply
    5,471.28x = 8,200.04 × 3,133.22
  4. Step 4: Simplify right side
    5,471.28x = 25,692,472.66
  5. Step 5: Solve for x
    x = 25,692,472.66/5,471.28
  6. Step 6: Final answer
    x = 4,695.88

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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.