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Finding the Fourth Proportional to 5,192.64, 7,165.88 and 2,834.80

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Solution

The fourth proportional to 5,192.64, 7,165.88 and 2,834.80 is: 3,912.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,192.64 : 7,165.88 = 2,834.80 : x
  2. Step 2: Convert to fraction form
    5,192.64/7,165.88 = 2,834.80/x
  3. Step 3: Cross multiply
    5,192.64x = 7,165.88 × 2,834.80
  4. Step 4: Simplify right side
    5,192.64x = 20,313,836.62
  5. Step 5: Solve for x
    x = 20,313,836.62/5,192.64
  6. Step 6: Final answer
    x = 3,912.04

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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.