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Finding the Fourth Proportional to 5,194.14, 7,168.08 and 2,836.43

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Solution

The fourth proportional to 5,194.14, 7,168.08 and 2,836.43 is: 3,914.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.14 : 7,168.08 = 2,836.43 : x
  2. Step 2: Convert to fraction form
    5,194.14/7,168.08 = 2,836.43/x
  3. Step 3: Cross multiply
    5,194.14x = 7,168.08 × 2,836.43
  4. Step 4: Simplify right side
    5,194.14x = 20,331,757.15
  5. Step 5: Solve for x
    x = 20,331,757.15/5,194.14
  6. Step 6: Final answer
    x = 3,914.36

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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.