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Finding the Fourth Proportional to 4,939.14, 7,409.91 and 3,481.14

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Solution

The fourth proportional to 4,939.14, 7,409.91 and 3,481.14 is: 5,222.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,939.14 : 7,409.91 = 3,481.14 : x
  2. Step 2: Convert to fraction form
    4,939.14/7,409.91 = 3,481.14/x
  3. Step 3: Cross multiply
    4,939.14x = 7,409.91 × 3,481.14
  4. Step 4: Simplify right side
    4,939.14x = 25,794,934.10
  5. Step 5: Solve for x
    x = 25,794,934.10/4,939.14
  6. Step 6: Final answer
    x = 5,222.56

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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.