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Finding the Fourth Proportional to 3,413.65, 5,115.67 and 2,717.22

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Solution

The fourth proportional to 3,413.65, 5,115.67 and 2,717.22 is: 4,072.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.65 : 5,115.67 = 2,717.22 : x
  2. Step 2: Convert to fraction form
    3,413.65/5,115.67 = 2,717.22/x
  3. Step 3: Cross multiply
    3,413.65x = 5,115.67 × 2,717.22
  4. Step 4: Simplify right side
    3,413.65x = 13,900,394.04
  5. Step 5: Solve for x
    x = 13,900,394.04/3,413.65
  6. Step 6: Final answer
    x = 4,072.00

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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.