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Finding the Fourth Proportional to 5,940.22, 8,197.80 and 3,422.74

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Solution

The fourth proportional to 5,940.22, 8,197.80 and 3,422.74 is: 4,723.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,940.22 : 8,197.80 = 3,422.74 : x
  2. Step 2: Convert to fraction form
    5,940.22/8,197.80 = 3,422.74/x
  3. Step 3: Cross multiply
    5,940.22x = 8,197.80 × 3,422.74
  4. Step 4: Simplify right side
    5,940.22x = 28,058,937.97
  5. Step 5: Solve for x
    x = 28,058,937.97/5,940.22
  6. Step 6: Final answer
    x = 4,723.55

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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.