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Finding the Fourth Proportional to 5,192.77, 7,165.98 and 2,834.91

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Solution

The fourth proportional to 5,192.77, 7,165.98 and 2,834.91 is: 3,912.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,192.77 : 7,165.98 = 2,834.91 : x
  2. Step 2: Convert to fraction form
    5,192.77/7,165.98 = 2,834.91/x
  3. Step 3: Cross multiply
    5,192.77x = 7,165.98 × 2,834.91
  4. Step 4: Simplify right side
    5,192.77x = 20,314,880.23
  5. Step 5: Solve for x
    x = 20,314,880.23/5,192.77
  6. Step 6: Final answer
    x = 3,912.15

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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.