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Finding the Fourth Proportional to 3,769.38, 5,201.37 and 2,197.08

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Solution

The fourth proportional to 3,769.38, 5,201.37 and 2,197.08 is: 3,031.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.38 : 5,201.37 = 2,197.08 : x
  2. Step 2: Convert to fraction form
    3,769.38/5,201.37 = 2,197.08/x
  3. Step 3: Cross multiply
    3,769.38x = 5,201.37 × 2,197.08
  4. Step 4: Simplify right side
    3,769.38x = 11,427,826.00
  5. Step 5: Solve for x
    x = 11,427,826.00/3,769.38
  6. Step 6: Final answer
    x = 3,031.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.