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Finding the Fourth Proportional to 3,833.78, 5,743.11 and 3,563.78

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Solution

The fourth proportional to 3,833.78, 5,743.11 and 3,563.78 is: 5,338.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.78 : 5,743.11 = 3,563.78 : x
  2. Step 2: Convert to fraction form
    3,833.78/5,743.11 = 3,563.78/x
  3. Step 3: Cross multiply
    3,833.78x = 5,743.11 × 3,563.78
  4. Step 4: Simplify right side
    3,833.78x = 20,467,180.56
  5. Step 5: Solve for x
    x = 20,467,180.56/3,833.78
  6. Step 6: Final answer
    x = 5,338.64

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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.