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Finding the Fourth Proportional to 5,192.10, 7,165.08 and 2,834.22

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Solution

The fourth proportional to 5,192.10, 7,165.08 and 2,834.22 is: 3,911.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,192.10 : 7,165.08 = 2,834.22 : x
  2. Step 2: Convert to fraction form
    5,192.10/7,165.08 = 2,834.22/x
  3. Step 3: Cross multiply
    5,192.10x = 7,165.08 × 2,834.22
  4. Step 4: Simplify right side
    5,192.10x = 20,307,413.04
  5. Step 5: Solve for x
    x = 20,307,413.04/5,192.10
  6. Step 6: Final answer
    x = 3,911.21

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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.