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Finding the Fourth Proportional to 5,243.92, 7,865.96 and 1,348.31

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Solution

The fourth proportional to 5,243.92, 7,865.96 and 1,348.31 is: 2,022.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,243.92 : 7,865.96 = 1,348.31 : x
  2. Step 2: Convert to fraction form
    5,243.92/7,865.96 = 1,348.31/x
  3. Step 3: Cross multiply
    5,243.92x = 7,865.96 × 1,348.31
  4. Step 4: Simplify right side
    5,243.92x = 10,605,765.45
  5. Step 5: Solve for x
    x = 10,605,765.45/5,243.92
  6. Step 6: Final answer
    x = 2,022.49

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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.