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Finding the Fourth Proportional to 5,162.54, 7,120.12 and 3,169.54

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Solution

The fourth proportional to 5,162.54, 7,120.12 and 3,169.54 is: 4,371.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,162.54 : 7,120.12 = 3,169.54 : x
  2. Step 2: Convert to fraction form
    5,162.54/7,120.12 = 3,169.54/x
  3. Step 3: Cross multiply
    5,162.54x = 7,120.12 × 3,169.54
  4. Step 4: Simplify right side
    5,162.54x = 22,567,453.70
  5. Step 5: Solve for x
    x = 22,567,453.70/5,162.54
  6. Step 6: Final answer
    x = 4,371.39

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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.