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Finding the Fourth Proportional to 5,192.82, 7,789.22 and 1,297.23

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Solution

The fourth proportional to 5,192.82, 7,789.22 and 1,297.23 is: 1,945.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,192.82 : 7,789.22 = 1,297.23 : x
  2. Step 2: Convert to fraction form
    5,192.82/7,789.22 = 1,297.23/x
  3. Step 3: Cross multiply
    5,192.82x = 7,789.22 × 1,297.23
  4. Step 4: Simplify right side
    5,192.82x = 10,104,413.10
  5. Step 5: Solve for x
    x = 10,104,413.10/5,192.82
  6. Step 6: Final answer
    x = 1,945.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.