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Finding the Fourth Proportional to 3,413.82, 4,708.22 and 2,408.82

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Solution

The fourth proportional to 3,413.82, 4,708.22 and 2,408.82 is: 3,322.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.82 : 4,708.22 = 2,408.82 : x
  2. Step 2: Convert to fraction form
    3,413.82/4,708.22 = 2,408.82/x
  3. Step 3: Cross multiply
    3,413.82x = 4,708.22 × 2,408.82
  4. Step 4: Simplify right side
    3,413.82x = 11,341,254.50
  5. Step 5: Solve for x
    x = 11,341,254.50/3,413.82
  6. Step 6: Final answer
    x = 3,322.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.