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Finding the Fourth Proportional to 3,494.24, 5,240.99 and 1,413.62

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Solution

The fourth proportional to 3,494.24, 5,240.99 and 1,413.62 is: 2,120.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.24 : 5,240.99 = 1,413.62 : x
  2. Step 2: Convert to fraction form
    3,494.24/5,240.99 = 1,413.62/x
  3. Step 3: Cross multiply
    3,494.24x = 5,240.99 × 1,413.62
  4. Step 4: Simplify right side
    3,494.24x = 7,408,735.01
  5. Step 5: Solve for x
    x = 7,408,735.01/3,494.24
  6. Step 6: Final answer
    x = 2,120.27

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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.