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Finding the Fourth Proportional to 5,229.40, 7,844.10 and 5,180.80

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Solution

The fourth proportional to 5,229.40, 7,844.10 and 5,180.80 is: 7,771.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,229.40 : 7,844.10 = 5,180.80 : x
  2. Step 2: Convert to fraction form
    5,229.40/7,844.10 = 5,180.80/x
  3. Step 3: Cross multiply
    5,229.40x = 7,844.10 × 5,180.80
  4. Step 4: Simplify right side
    5,229.40x = 40,638,713.28
  5. Step 5: Solve for x
    x = 40,638,713.28/5,229.40
  6. Step 6: Final answer
    x = 7,771.20

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Similar ratio
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1.5x scale

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.