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Finding the Fourth Proportional to 5,129.40, 7,694.09 and 3,961.10

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Solution

The fourth proportional to 5,129.40, 7,694.09 and 3,961.10 is: 5,941.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,129.40 : 7,694.09 = 3,961.10 : x
  2. Step 2: Convert to fraction form
    5,129.40/7,694.09 = 3,961.10/x
  3. Step 3: Cross multiply
    5,129.40x = 7,694.09 × 3,961.10
  4. Step 4: Simplify right side
    5,129.40x = 30,477,001.62
  5. Step 5: Solve for x
    x = 30,477,001.62/5,129.40
  6. Step 6: Final answer
    x = 5,941.63

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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.