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Finding the Fourth Proportional to 4,012.79, 6,019.22 and 1,413.90

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Solution

The fourth proportional to 4,012.79, 6,019.22 and 1,413.90 is: 2,120.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,012.79 : 6,019.22 = 1,413.90 : x
  2. Step 2: Convert to fraction form
    4,012.79/6,019.22 = 1,413.90/x
  3. Step 3: Cross multiply
    4,012.79x = 6,019.22 × 1,413.90
  4. Step 4: Simplify right side
    4,012.79x = 8,510,578.69
  5. Step 5: Solve for x
    x = 8,510,578.69/4,012.79
  6. Step 6: Final answer
    x = 2,120.87

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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.