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Finding the Fourth Proportional to 6,086.28, 9,129.42 and 2,190.99

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Solution

The fourth proportional to 6,086.28, 9,129.42 and 2,190.99 is: 3,286.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,086.28 : 9,129.42 = 2,190.99 : x
  2. Step 2: Convert to fraction form
    6,086.28/9,129.42 = 2,190.99/x
  3. Step 3: Cross multiply
    6,086.28x = 9,129.42 × 2,190.99
  4. Step 4: Simplify right side
    6,086.28x = 20,002,467.93
  5. Step 5: Solve for x
    x = 20,002,467.93/6,086.28
  6. Step 6: Final answer
    x = 3,286.49

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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.