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Finding the Fourth Proportional to 4,299.19, 6,413.09 and 4,155.22

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Solution

The fourth proportional to 4,299.19, 6,413.09 and 4,155.22 is: 6,198.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,299.19 : 6,413.09 = 4,155.22 : x
  2. Step 2: Convert to fraction form
    4,299.19/6,413.09 = 4,155.22/x
  3. Step 3: Cross multiply
    4,299.19x = 6,413.09 × 4,155.22
  4. Step 4: Simplify right side
    4,299.19x = 26,647,799.83
  5. Step 5: Solve for x
    x = 26,647,799.83/4,299.19
  6. Step 6: Final answer
    x = 6,198.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.