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Finding the Fourth Proportional to 5,711.22, 7,881.66 and 3,193.43

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Solution

The fourth proportional to 5,711.22, 7,881.66 and 3,193.43 is: 4,407.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,711.22 : 7,881.66 = 3,193.43 : x
  2. Step 2: Convert to fraction form
    5,711.22/7,881.66 = 3,193.43/x
  3. Step 3: Cross multiply
    5,711.22x = 7,881.66 × 3,193.43
  4. Step 4: Simplify right side
    5,711.22x = 25,169,513.53
  5. Step 5: Solve for x
    x = 25,169,513.53/5,711.22
  6. Step 6: Final answer
    x = 4,407.03

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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.