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Finding the Fourth Proportional to 3,639, 5,021.82 and 1,983

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Solution

The fourth proportional to 3,639, 5,021.82 and 1,983 is: 2,736.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,639 : 5,021.82 = 1,983 : x
  2. Step 2: Convert to fraction form
    3,639/5,021.82 = 1,983/x
  3. Step 3: Cross multiply
    3,639x = 5,021.82 × 1,983
  4. Step 4: Simplify right side
    3,639x = 9,958,269.06
  5. Step 5: Solve for x
    x = 9,958,269.06/3,639
  6. Step 6: Final answer
    x = 2,736.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.