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Finding the Fourth Proportional to 5,191.91, 7,164.59 and 2,834.06

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Solution

The fourth proportional to 5,191.91, 7,164.59 and 2,834.06 is: 3,910.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.91 : 7,164.59 = 2,834.06 : x
  2. Step 2: Convert to fraction form
    5,191.91/7,164.59 = 2,834.06/x
  3. Step 3: Cross multiply
    5,191.91x = 7,164.59 × 2,834.06
  4. Step 4: Simplify right side
    5,191.91x = 20,304,827.94
  5. Step 5: Solve for x
    x = 20,304,827.94/5,191.91
  6. Step 6: Final answer
    x = 3,910.86

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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.