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Finding the Fourth Proportional to 3,769.90, 5,201.30 and 2,197.42

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Solution

The fourth proportional to 3,769.90, 5,201.30 and 2,197.42 is: 3,031.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.90 : 5,201.30 = 2,197.42 : x
  2. Step 2: Convert to fraction form
    3,769.90/5,201.30 = 2,197.42/x
  3. Step 3: Cross multiply
    3,769.90x = 5,201.30 × 2,197.42
  4. Step 4: Simplify right side
    3,769.90x = 11,429,433.14
  5. Step 5: Solve for x
    x = 11,429,433.14/3,769.90
  6. Step 6: Final answer
    x = 3,031.76

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