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Finding the Fourth Proportional to 5,471.02, 7,543.42 and 3,793.87

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Solution

The fourth proportional to 5,471.02, 7,543.42 and 3,793.87 is: 5,230.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.02 : 7,543.42 = 3,793.87 : x
  2. Step 2: Convert to fraction form
    5,471.02/7,543.42 = 3,793.87/x
  3. Step 3: Cross multiply
    5,471.02x = 7,543.42 × 3,793.87
  4. Step 4: Simplify right side
    5,471.02x = 28,618,754.84
  5. Step 5: Solve for x
    x = 28,618,754.84/5,471.02
  6. Step 6: Final answer
    x = 5,230.97

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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.