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Finding the Fourth Proportional to 5,192.25, 7,165.34 and 2,834.42

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Solution

The fourth proportional to 5,192.25, 7,165.34 and 2,834.42 is: 3,911.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,192.25 : 7,165.34 = 2,834.42 : x
  2. Step 2: Convert to fraction form
    5,192.25/7,165.34 = 2,834.42/x
  3. Step 3: Cross multiply
    5,192.25x = 7,165.34 × 2,834.42
  4. Step 4: Simplify right side
    5,192.25x = 20,309,533.00
  5. Step 5: Solve for x
    x = 20,309,533.00/5,192.25
  6. Step 6: Final answer
    x = 3,911.51

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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.