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Finding the Fourth Proportional to 5,192.60, 7,165.94 and 2,834.89

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Solution

The fourth proportional to 5,192.60, 7,165.94 and 2,834.89 is: 3,912.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,192.60 : 7,165.94 = 2,834.89 : x
  2. Step 2: Convert to fraction form
    5,192.60/7,165.94 = 2,834.89/x
  3. Step 3: Cross multiply
    5,192.60x = 7,165.94 × 2,834.89
  4. Step 4: Simplify right side
    5,192.60x = 20,314,637.47
  5. Step 5: Solve for x
    x = 20,314,637.47/5,192.60
  6. Step 6: Final answer
    x = 3,912.23

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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.