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Finding the Fourth Proportional to 3,906.50, 5,390.97 and 2,912.63

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Solution

The fourth proportional to 3,906.50, 5,390.97 and 2,912.63 is: 4,019.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.50 : 5,390.97 = 2,912.63 : x
  2. Step 2: Convert to fraction form
    3,906.50/5,390.97 = 2,912.63/x
  3. Step 3: Cross multiply
    3,906.50x = 5,390.97 × 2,912.63
  4. Step 4: Simplify right side
    3,906.50x = 15,701,900.95
  5. Step 5: Solve for x
    x = 15,701,900.95/3,906.50
  6. Step 6: Final answer
    x = 4,019.43

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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.