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Finding the Fourth Proportional to 5,194.14, 7,167.88 and 2,836.28

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Solution

The fourth proportional to 5,194.14, 7,167.88 and 2,836.28 is: 3,914.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.14 : 7,167.88 = 2,836.28 : x
  2. Step 2: Convert to fraction form
    5,194.14/7,167.88 = 2,836.28/x
  3. Step 3: Cross multiply
    5,194.14x = 7,167.88 × 2,836.28
  4. Step 4: Simplify right side
    5,194.14x = 20,330,114.69
  5. Step 5: Solve for x
    x = 20,330,114.69/5,194.14
  6. Step 6: Final answer
    x = 3,914.05

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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.