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Finding the Fourth Proportional to 3,964.44, 5,945.80 and 1,366.80

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Solution

The fourth proportional to 3,964.44, 5,945.80 and 1,366.80 is: 2,049.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.44 : 5,945.80 = 1,366.80 : x
  2. Step 2: Convert to fraction form
    3,964.44/5,945.80 = 1,366.80/x
  3. Step 3: Cross multiply
    3,964.44x = 5,945.80 × 1,366.80
  4. Step 4: Simplify right side
    3,964.44x = 8,126,719.44
  5. Step 5: Solve for x
    x = 8,126,719.44/3,964.44
  6. Step 6: Final answer
    x = 2,049.90

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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.