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Finding the Fourth Proportional to 3,769.44, 5,651.10 and 3,255.54

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Solution

The fourth proportional to 3,769.44, 5,651.10 and 3,255.54 is: 4,880.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.44 : 5,651.10 = 3,255.54 : x
  2. Step 2: Convert to fraction form
    3,769.44/5,651.10 = 3,255.54/x
  3. Step 3: Cross multiply
    3,769.44x = 5,651.10 × 3,255.54
  4. Step 4: Simplify right side
    3,769.44x = 18,397,382.09
  5. Step 5: Solve for x
    x = 18,397,382.09/3,769.44
  6. Step 6: Final answer
    x = 4,880.67

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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.