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Finding the Fourth Proportional to 5,713.22, 7,884.42 and 3,195.43

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Solution

The fourth proportional to 5,713.22, 7,884.42 and 3,195.43 is: 4,409.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,713.22 : 7,884.42 = 3,195.43 : x
  2. Step 2: Convert to fraction form
    5,713.22/7,884.42 = 3,195.43/x
  3. Step 3: Cross multiply
    5,713.22x = 7,884.42 × 3,195.43
  4. Step 4: Simplify right side
    5,713.22x = 25,194,112.20
  5. Step 5: Solve for x
    x = 25,194,112.20/5,713.22
  6. Step 6: Final answer
    x = 4,409.79

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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.