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Finding the Fourth Proportional to 3,638.50, 5,021.14 and 1,982.50

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Solution

The fourth proportional to 3,638.50, 5,021.14 and 1,982.50 is: 2,735.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638.50 : 5,021.14 = 1,982.50 : x
  2. Step 2: Convert to fraction form
    3,638.50/5,021.14 = 1,982.50/x
  3. Step 3: Cross multiply
    3,638.50x = 5,021.14 × 1,982.50
  4. Step 4: Simplify right side
    3,638.50x = 9,954,410.05
  5. Step 5: Solve for x
    x = 9,954,410.05/3,638.50
  6. Step 6: Final answer
    x = 2,735.86

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1.5x scale

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.