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Finding the Fourth Proportional to 7,229.40, 10,844.10 and 3,766.20

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Solution

The fourth proportional to 7,229.40, 10,844.10 and 3,766.20 is: 5,649.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,229.40 : 10,844.10 = 3,766.20 : x
  2. Step 2: Convert to fraction form
    7,229.40/10,844.10 = 3,766.20/x
  3. Step 3: Cross multiply
    7,229.40x = 10,844.10 × 3,766.20
  4. Step 4: Simplify right side
    7,229.40x = 40,841,049.42
  5. Step 5: Solve for x
    x = 40,841,049.42/7,229.40
  6. Step 6: Final answer
    x = 5,649.30

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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.