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Finding the Fourth Proportional to 5,371.82, 8,057.40 and 3,194.40

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Solution

The fourth proportional to 5,371.82, 8,057.40 and 3,194.40 is: 4,791.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,371.82 : 8,057.40 = 3,194.40 : x
  2. Step 2: Convert to fraction form
    5,371.82/8,057.40 = 3,194.40/x
  3. Step 3: Cross multiply
    5,371.82x = 8,057.40 × 3,194.40
  4. Step 4: Simplify right side
    5,371.82x = 25,738,558.56
  5. Step 5: Solve for x
    x = 25,738,558.56/5,371.82
  6. Step 6: Final answer
    x = 4,791.41

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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.