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Finding the Fourth Proportional to 5,194.60, 7,811.10 and 4,349.80

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Solution

The fourth proportional to 5,194.60, 7,811.10 and 4,349.80 is: 6,540.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.60 : 7,811.10 = 4,349.80 : x
  2. Step 2: Convert to fraction form
    5,194.60/7,811.10 = 4,349.80/x
  3. Step 3: Cross multiply
    5,194.60x = 7,811.10 × 4,349.80
  4. Step 4: Simplify right side
    5,194.60x = 33,976,722.78
  5. Step 5: Solve for x
    x = 33,976,722.78/5,194.60
  6. Step 6: Final answer
    x = 6,540.78

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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.