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Finding the Fourth Proportional to 3,449.40, 5,174.06 and 984.22

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Solution

The fourth proportional to 3,449.40, 5,174.06 and 984.22 is: 1,476.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.40 : 5,174.06 = 984.22 : x
  2. Step 2: Convert to fraction form
    3,449.40/5,174.06 = 984.22/x
  3. Step 3: Cross multiply
    3,449.40x = 5,174.06 × 984.22
  4. Step 4: Simplify right side
    3,449.40x = 5,092,413.33
  5. Step 5: Solve for x
    x = 5,092,413.33/3,449.40
  6. Step 6: Final answer
    x = 1,476.32

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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.