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Finding the Fourth Proportional to 3,413.26, 5,118.74 and 1,104.22

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Solution

The fourth proportional to 3,413.26, 5,118.74 and 1,104.22 is: 1,655.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.26 : 5,118.74 = 1,104.22 : x
  2. Step 2: Convert to fraction form
    3,413.26/5,118.74 = 1,104.22/x
  3. Step 3: Cross multiply
    3,413.26x = 5,118.74 × 1,104.22
  4. Step 4: Simplify right side
    3,413.26x = 5,652,215.08
  5. Step 5: Solve for x
    x = 5,652,215.08/3,413.26
  6. Step 6: Final answer
    x = 1,655.96

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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.