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Finding the Fourth Proportional to 3,769.07, 5,201.36 and 2,197.13

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Solution

The fourth proportional to 3,769.07, 5,201.36 and 2,197.13 is: 3,032.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.07 : 5,201.36 = 2,197.13 : x
  2. Step 2: Convert to fraction form
    3,769.07/5,201.36 = 2,197.13/x
  3. Step 3: Cross multiply
    3,769.07x = 5,201.36 × 2,197.13
  4. Step 4: Simplify right side
    3,769.07x = 11,428,027.10
  5. Step 5: Solve for x
    x = 11,428,027.10/3,769.07
  6. Step 6: Final answer
    x = 3,032.06

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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.