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Finding the Fourth Proportional to 5,413.70, 8,120.42 and 3,659.51

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Solution

The fourth proportional to 5,413.70, 8,120.42 and 3,659.51 is: 5,489.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,413.70 : 8,120.42 = 3,659.51 : x
  2. Step 2: Convert to fraction form
    5,413.70/8,120.42 = 3,659.51/x
  3. Step 3: Cross multiply
    5,413.70x = 8,120.42 × 3,659.51
  4. Step 4: Simplify right side
    5,413.70x = 29,716,773.92
  5. Step 5: Solve for x
    x = 29,716,773.92/5,413.70
  6. Step 6: Final answer
    x = 5,489.18

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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.