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Finding the Fourth Proportional to 5,940.69, 8,194.57 and 3,815.51

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Solution

The fourth proportional to 5,940.69, 8,194.57 and 3,815.51 is: 5,263.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,940.69 : 8,194.57 = 3,815.51 : x
  2. Step 2: Convert to fraction form
    5,940.69/8,194.57 = 3,815.51/x
  3. Step 3: Cross multiply
    5,940.69x = 8,194.57 × 3,815.51
  4. Step 4: Simplify right side
    5,940.69x = 31,266,413.27
  5. Step 5: Solve for x
    x = 31,266,413.27/5,940.69
  6. Step 6: Final answer
    x = 5,263.09

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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.