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Finding the Fourth Proportional to 3,768.92, 5,201.14 and 2,197.16

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Solution

The fourth proportional to 3,768.92, 5,201.14 and 2,197.16 is: 3,032.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.92 : 5,201.14 = 2,197.16 : x
  2. Step 2: Convert to fraction form
    3,768.92/5,201.14 = 2,197.16/x
  3. Step 3: Cross multiply
    3,768.92x = 5,201.14 × 2,197.16
  4. Step 4: Simplify right side
    3,768.92x = 11,427,736.76
  5. Step 5: Solve for x
    x = 11,427,736.76/3,768.92
  6. Step 6: Final answer
    x = 3,032.10

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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.