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Finding the Fourth Proportional to 3,512.67, 5,269.01 and 2,413.71

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Solution

The fourth proportional to 3,512.67, 5,269.01 and 2,413.71 is: 3,620.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512.67 : 5,269.01 = 2,413.71 : x
  2. Step 2: Convert to fraction form
    3,512.67/5,269.01 = 2,413.71/x
  3. Step 3: Cross multiply
    3,512.67x = 5,269.01 × 2,413.71
  4. Step 4: Simplify right side
    3,512.67x = 12,717,850.06
  5. Step 5: Solve for x
    x = 12,717,850.06/3,512.67
  6. Step 6: Final answer
    x = 3,620.57

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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.