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Finding the Fourth Proportional to 5,413.35, 7,466.90 and 3,822.31

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Solution

The fourth proportional to 5,413.35, 7,466.90 and 3,822.31 is: 5,272.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,413.35 : 7,466.90 = 3,822.31 : x
  2. Step 2: Convert to fraction form
    5,413.35/7,466.90 = 3,822.31/x
  3. Step 3: Cross multiply
    5,413.35x = 7,466.90 × 3,822.31
  4. Step 4: Simplify right side
    5,413.35x = 28,540,797.43
  5. Step 5: Solve for x
    x = 28,540,797.43/5,413.35
  6. Step 6: Final answer
    x = 5,272.30

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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.