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Finding the Fourth Proportional to 3,413.49, 5,118.63 and 2,027.01

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Solution

The fourth proportional to 3,413.49, 5,118.63 and 2,027.01 is: 3,039.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.49 : 5,118.63 = 2,027.01 : x
  2. Step 2: Convert to fraction form
    3,413.49/5,118.63 = 2,027.01/x
  3. Step 3: Cross multiply
    3,413.49x = 5,118.63 × 2,027.01
  4. Step 4: Simplify right side
    3,413.49x = 10,375,514.20
  5. Step 5: Solve for x
    x = 10,375,514.20/3,413.49
  6. Step 6: Final answer
    x = 3,039.56

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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.