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Finding the Fourth Proportional to 5,194.43, 7,161.11 and 3,513.17

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Solution

The fourth proportional to 5,194.43, 7,161.11 and 3,513.17 is: 4,843.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.43 : 7,161.11 = 3,513.17 : x
  2. Step 2: Convert to fraction form
    5,194.43/7,161.11 = 3,513.17/x
  3. Step 3: Cross multiply
    5,194.43x = 7,161.11 × 3,513.17
  4. Step 4: Simplify right side
    5,194.43x = 25,158,210.33
  5. Step 5: Solve for x
    x = 25,158,210.33/5,194.43
  6. Step 6: Final answer
    x = 4,843.31

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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.