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Finding the Fourth Proportional to 4,945.62, 7,410.19 and 3,481.69

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Solution

The fourth proportional to 4,945.62, 7,410.19 and 3,481.69 is: 5,216.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,945.62 : 7,410.19 = 3,481.69 : x
  2. Step 2: Convert to fraction form
    4,945.62/7,410.19 = 3,481.69/x
  3. Step 3: Cross multiply
    4,945.62x = 7,410.19 × 3,481.69
  4. Step 4: Simplify right side
    4,945.62x = 25,799,984.42
  5. Step 5: Solve for x
    x = 25,799,984.42/4,945.62
  6. Step 6: Final answer
    x = 5,216.73

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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.