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Finding the Fourth Proportional to 3,512.61, 5,268.87 and 2,413.62

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Solution

The fourth proportional to 3,512.61, 5,268.87 and 2,413.62 is: 3,620.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512.61 : 5,268.87 = 2,413.62 : x
  2. Step 2: Convert to fraction form
    3,512.61/5,268.87 = 2,413.62/x
  3. Step 3: Cross multiply
    3,512.61x = 5,268.87 × 2,413.62
  4. Step 4: Simplify right side
    3,512.61x = 12,717,050.01
  5. Step 5: Solve for x
    x = 12,717,050.01/3,512.61
  6. Step 6: Final answer
    x = 3,620.40

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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.