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Finding the Fourth Proportional to 5,194.92, 7,786.62 and 2,074.11

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Solution

The fourth proportional to 5,194.92, 7,786.62 and 2,074.11 is: 3,108.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.92 : 7,786.62 = 2,074.11 : x
  2. Step 2: Convert to fraction form
    5,194.92/7,786.62 = 2,074.11/x
  3. Step 3: Cross multiply
    5,194.92x = 7,786.62 × 2,074.11
  4. Step 4: Simplify right side
    5,194.92x = 16,150,306.41
  5. Step 5: Solve for x
    x = 16,150,306.41/5,194.92
  6. Step 6: Final answer
    x = 3,108.87

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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.