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Finding the Fourth Proportional to 3,638.75, 5,021.48 and 1,982.75

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Solution

The fourth proportional to 3,638.75, 5,021.48 and 1,982.75 is: 2,736.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638.75 : 5,021.48 = 1,982.75 : x
  2. Step 2: Convert to fraction form
    3,638.75/5,021.48 = 1,982.75/x
  3. Step 3: Cross multiply
    3,638.75x = 5,021.48 × 1,982.75
  4. Step 4: Simplify right side
    3,638.75x = 9,956,329.56
  5. Step 5: Solve for x
    x = 9,956,329.56/3,638.75
  6. Step 6: Final answer
    x = 2,736.20

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