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Finding the Fourth Proportional to 3,906.63, 5,391.18 and 2,414.21

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Solution

The fourth proportional to 3,906.63, 5,391.18 and 2,414.21 is: 3,331.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.63 : 5,391.18 = 2,414.21 : x
  2. Step 2: Convert to fraction form
    3,906.63/5,391.18 = 2,414.21/x
  3. Step 3: Cross multiply
    3,906.63x = 5,391.18 × 2,414.21
  4. Step 4: Simplify right side
    3,906.63x = 13,015,413.71
  5. Step 5: Solve for x
    x = 13,015,413.71/3,906.63
  6. Step 6: Final answer
    x = 3,331.62

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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.