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Finding the Fourth Proportional to 3,413.92, 5,129.40 and 2,181.88

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Solution

The fourth proportional to 3,413.92, 5,129.40 and 2,181.88 is: 3,278.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.92 : 5,129.40 = 2,181.88 : x
  2. Step 2: Convert to fraction form
    3,413.92/5,129.40 = 2,181.88/x
  3. Step 3: Cross multiply
    3,413.92x = 5,129.40 × 2,181.88
  4. Step 4: Simplify right side
    3,413.92x = 11,191,735.27
  5. Step 5: Solve for x
    x = 11,191,735.27/3,413.92
  6. Step 6: Final answer
    x = 3,278.27

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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.