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Finding the Fourth Proportional to 5,194.19, 7,167.78 and 2,836.34

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Solution

The fourth proportional to 5,194.19, 7,167.78 and 2,836.34 is: 3,914.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.19 : 7,167.78 = 2,836.34 : x
  2. Step 2: Convert to fraction form
    5,194.19/7,167.78 = 2,836.34/x
  3. Step 3: Cross multiply
    5,194.19x = 7,167.78 × 2,836.34
  4. Step 4: Simplify right side
    5,194.19x = 20,330,225.29
  5. Step 5: Solve for x
    x = 20,330,225.29/5,194.19
  6. Step 6: Final answer
    x = 3,914.04

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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.