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Finding the Fourth Proportional to 5,194.25, 7,168.10 and 2,836.42

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Solution

The fourth proportional to 5,194.25, 7,168.10 and 2,836.42 is: 3,914.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.25 : 7,168.10 = 2,836.42 : x
  2. Step 2: Convert to fraction form
    5,194.25/7,168.10 = 2,836.42/x
  3. Step 3: Cross multiply
    5,194.25x = 7,168.10 × 2,836.42
  4. Step 4: Simplify right side
    5,194.25x = 20,331,742.20
  5. Step 5: Solve for x
    x = 20,331,742.20/5,194.25
  6. Step 6: Final answer
    x = 3,914.28

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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.