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Finding the Fourth Proportional to 5,936.24, 8,901.36 and 3,471.86

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Solution

The fourth proportional to 5,936.24, 8,901.36 and 3,471.86 is: 5,206.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,936.24 : 8,901.36 = 3,471.86 : x
  2. Step 2: Convert to fraction form
    5,936.24/8,901.36 = 3,471.86/x
  3. Step 3: Cross multiply
    5,936.24x = 8,901.36 × 3,471.86
  4. Step 4: Simplify right side
    5,936.24x = 30,904,275.73
  5. Step 5: Solve for x
    x = 30,904,275.73/5,936.24
  6. Step 6: Final answer
    x = 5,206.04

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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.