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Finding the Fourth Proportional to 3,906.07, 5,392.87 and 2,414.85

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Solution

The fourth proportional to 3,906.07, 5,392.87 and 2,414.85 is: 3,334.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.07 : 5,392.87 = 2,414.85 : x
  2. Step 2: Convert to fraction form
    3,906.07/5,392.87 = 2,414.85/x
  3. Step 3: Cross multiply
    3,906.07x = 5,392.87 × 2,414.85
  4. Step 4: Simplify right side
    3,906.07x = 13,022,972.12
  5. Step 5: Solve for x
    x = 13,022,972.12/3,906.07
  6. Step 6: Final answer
    x = 3,334.03

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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.