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Finding the Fourth Proportional to 3,906.28, 5,390.67 and 2,137.92

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Solution

The fourth proportional to 3,906.28, 5,390.67 and 2,137.92 is: 2,950.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.28 : 5,390.67 = 2,137.92 : x
  2. Step 2: Convert to fraction form
    3,906.28/5,390.67 = 2,137.92/x
  3. Step 3: Cross multiply
    3,906.28x = 5,390.67 × 2,137.92
  4. Step 4: Simplify right side
    3,906.28x = 11,524,821.21
  5. Step 5: Solve for x
    x = 11,524,821.21/3,906.28
  6. Step 6: Final answer
    x = 2,950.33

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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.