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Finding the Fourth Proportional to 3,982.24, 5,977 and 2,035.80

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Solution

The fourth proportional to 3,982.24, 5,977 and 2,035.80 is: 3,055.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.24 : 5,977 = 2,035.80 : x
  2. Step 2: Convert to fraction form
    3,982.24/5,977 = 2,035.80/x
  3. Step 3: Cross multiply
    3,982.24x = 5,977 × 2,035.80
  4. Step 4: Simplify right side
    3,982.24x = 12,167,976.60
  5. Step 5: Solve for x
    x = 12,167,976.60/3,982.24
  6. Step 6: Final answer
    x = 3,055.56

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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.