Home / 3,614.60-5,422.26-982.14

Finding the Fourth Proportional to 3,614.60, 5,422.26 and 982.14

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Solution

The fourth proportional to 3,614.60, 5,422.26 and 982.14 is: 1,473.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.60 : 5,422.26 = 982.14 : x
  2. Step 2: Convert to fraction form
    3,614.60/5,422.26 = 982.14/x
  3. Step 3: Cross multiply
    3,614.60x = 5,422.26 × 982.14
  4. Step 4: Simplify right side
    3,614.60x = 5,325,413.53
  5. Step 5: Solve for x
    x = 5,325,413.53/3,614.60
  6. Step 6: Final answer
    x = 1,473.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.