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Finding the Fourth Proportional to 5,059.72, 6,983.94 and 3,197.80

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Solution

The fourth proportional to 5,059.72, 6,983.94 and 3,197.80 is: 4,413.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,059.72 : 6,983.94 = 3,197.80 : x
  2. Step 2: Convert to fraction form
    5,059.72/6,983.94 = 3,197.80/x
  3. Step 3: Cross multiply
    5,059.72x = 6,983.94 × 3,197.80
  4. Step 4: Simplify right side
    5,059.72x = 22,333,243.33
  5. Step 5: Solve for x
    x = 22,333,243.33/5,059.72
  6. Step 6: Final answer
    x = 4,413.93

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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.