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Finding the Fourth Proportional to 3,413.92, 5,121.12 and 949.12

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Solution

The fourth proportional to 3,413.92, 5,121.12 and 949.12 is: 1,423.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.92 : 5,121.12 = 949.12 : x
  2. Step 2: Convert to fraction form
    3,413.92/5,121.12 = 949.12/x
  3. Step 3: Cross multiply
    3,413.92x = 5,121.12 × 949.12
  4. Step 4: Simplify right side
    3,413.92x = 4,860,557.41
  5. Step 5: Solve for x
    x = 4,860,557.41/3,413.92
  6. Step 6: Final answer
    x = 1,423.75

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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.