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Finding the Fourth Proportional to 5,191.94, 7,164.98 and 2,834.24

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Solution

The fourth proportional to 5,191.94, 7,164.98 and 2,834.24 is: 3,911.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.94 : 7,164.98 = 2,834.24 : x
  2. Step 2: Convert to fraction form
    5,191.94/7,164.98 = 2,834.24/x
  3. Step 3: Cross multiply
    5,191.94x = 7,164.98 × 2,834.24
  4. Step 4: Simplify right side
    5,191.94x = 20,307,272.92
  5. Step 5: Solve for x
    x = 20,307,272.92/5,191.94
  6. Step 6: Final answer
    x = 3,911.31

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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.