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Finding the Fourth Proportional to 3,906.70, 5,391.34 and 2,334.80

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Solution

The fourth proportional to 3,906.70, 5,391.34 and 2,334.80 is: 3,222.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.70 : 5,391.34 = 2,334.80 : x
  2. Step 2: Convert to fraction form
    3,906.70/5,391.34 = 2,334.80/x
  3. Step 3: Cross multiply
    3,906.70x = 5,391.34 × 2,334.80
  4. Step 4: Simplify right side
    3,906.70x = 12,587,708.27
  5. Step 5: Solve for x
    x = 12,587,708.27/3,906.70
  6. Step 6: Final answer
    x = 3,222.08

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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.