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Finding the Fourth Proportional to 5,191.89, 7,164.79 and 2,834.03

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Solution

The fourth proportional to 5,191.89, 7,164.79 and 2,834.03 is: 3,910.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.89 : 7,164.79 = 2,834.03 : x
  2. Step 2: Convert to fraction form
    5,191.89/7,164.79 = 2,834.03/x
  3. Step 3: Cross multiply
    5,191.89x = 7,164.79 × 2,834.03
  4. Step 4: Simplify right side
    5,191.89x = 20,305,240.63
  5. Step 5: Solve for x
    x = 20,305,240.63/5,191.89
  6. Step 6: Final answer
    x = 3,910.95

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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.