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Finding the Fourth Proportional to 5,192.44, 7,165.48 and 2,834.56

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Solution

The fourth proportional to 5,192.44, 7,165.48 and 2,834.56 is: 3,911.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,192.44 : 7,165.48 = 2,834.56 : x
  2. Step 2: Convert to fraction form
    5,192.44/7,165.48 = 2,834.56/x
  3. Step 3: Cross multiply
    5,192.44x = 7,165.48 × 2,834.56
  4. Step 4: Simplify right side
    5,192.44x = 20,310,982.99
  5. Step 5: Solve for x
    x = 20,310,982.99/5,192.44
  6. Step 6: Final answer
    x = 3,911.65

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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.