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Finding the Fourth Proportional to 3,413.33, 5,113.43 and 2,093.23

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Solution

The fourth proportional to 3,413.33, 5,113.43 and 2,093.23 is: 3,135.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.33 : 5,113.43 = 2,093.23 : x
  2. Step 2: Convert to fraction form
    3,413.33/5,113.43 = 2,093.23/x
  3. Step 3: Cross multiply
    3,413.33x = 5,113.43 × 2,093.23
  4. Step 4: Simplify right side
    3,413.33x = 10,703,561.83
  5. Step 5: Solve for x
    x = 10,703,561.83/3,413.33
  6. Step 6: Final answer
    x = 3,135.81

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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.