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Finding the Fourth Proportional to 3,793.38, 5,235.40 and 3,627.33

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Solution

The fourth proportional to 3,793.38, 5,235.40 and 3,627.33 is: 5,006.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.38 : 5,235.40 = 3,627.33 : x
  2. Step 2: Convert to fraction form
    3,793.38/5,235.40 = 3,627.33/x
  3. Step 3: Cross multiply
    3,793.38x = 5,235.40 × 3,627.33
  4. Step 4: Simplify right side
    3,793.38x = 18,990,523.48
  5. Step 5: Solve for x
    x = 18,990,523.48/3,793.38
  6. Step 6: Final answer
    x = 5,006.23

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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.