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Finding the Fourth Proportional to 5,191.93, 7,164.86 and 2,834.07

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Solution

The fourth proportional to 5,191.93, 7,164.86 and 2,834.07 is: 3,911.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.93 : 7,164.86 = 2,834.07 : x
  2. Step 2: Convert to fraction form
    5,191.93/7,164.86 = 2,834.07/x
  3. Step 3: Cross multiply
    5,191.93x = 7,164.86 × 2,834.07
  4. Step 4: Simplify right side
    5,191.93x = 20,305,754.05
  5. Step 5: Solve for x
    x = 20,305,754.05/5,191.93
  6. Step 6: Final answer
    x = 3,911.02

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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.