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Finding the Fourth Proportional to 5,194.13, 7,167.89 and 2,836.32

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Solution

The fourth proportional to 5,194.13, 7,167.89 and 2,836.32 is: 3,914.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.13 : 7,167.89 = 2,836.32 : x
  2. Step 2: Convert to fraction form
    5,194.13/7,167.89 = 2,836.32/x
  3. Step 3: Cross multiply
    5,194.13x = 7,167.89 × 2,836.32
  4. Step 4: Simplify right side
    5,194.13x = 20,330,409.98
  5. Step 5: Solve for x
    x = 20,330,409.98/5,194.13
  6. Step 6: Final answer
    x = 3,914.12

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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.