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Finding the Fourth Proportional to 3,983.80, 5,984.34 and 3,838

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Solution

The fourth proportional to 3,983.80, 5,984.34 and 3,838 is: 5,765.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,983.80 : 5,984.34 = 3,838 : x
  2. Step 2: Convert to fraction form
    3,983.80/5,984.34 = 3,838/x
  3. Step 3: Cross multiply
    3,983.80x = 5,984.34 × 3,838
  4. Step 4: Simplify right side
    3,983.80x = 22,967,896.92
  5. Step 5: Solve for x
    x = 22,967,896.92/3,983.80
  6. Step 6: Final answer
    x = 5,765.32

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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.