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Finding the Fourth Proportional to 3,793.38, 5,686.43 and 3,011.33

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Solution

The fourth proportional to 3,793.38, 5,686.43 and 3,011.33 is: 4,514.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.38 : 5,686.43 = 3,011.33 : x
  2. Step 2: Convert to fraction form
    3,793.38/5,686.43 = 3,011.33/x
  3. Step 3: Cross multiply
    3,793.38x = 5,686.43 × 3,011.33
  4. Step 4: Simplify right side
    3,793.38x = 17,123,673.76
  5. Step 5: Solve for x
    x = 17,123,673.76/3,793.38
  6. Step 6: Final answer
    x = 4,514.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.