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Finding the Fourth Proportional to 3,920.78, 5,413.21 and 2,596.28

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Solution

The fourth proportional to 3,920.78, 5,413.21 and 2,596.28 is: 3,584.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.78 : 5,413.21 = 2,596.28 : x
  2. Step 2: Convert to fraction form
    3,920.78/5,413.21 = 2,596.28/x
  3. Step 3: Cross multiply
    3,920.78x = 5,413.21 × 2,596.28
  4. Step 4: Simplify right side
    3,920.78x = 14,054,175.30
  5. Step 5: Solve for x
    x = 14,054,175.30/3,920.78
  6. Step 6: Final answer
    x = 3,584.53

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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.