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Finding the Fourth Proportional to 3,832.53, 5,745.87 and 1,982.46

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Solution

The fourth proportional to 3,832.53, 5,745.87 and 1,982.46 is: 2,972.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.53 : 5,745.87 = 1,982.46 : x
  2. Step 2: Convert to fraction form
    3,832.53/5,745.87 = 1,982.46/x
  3. Step 3: Cross multiply
    3,832.53x = 5,745.87 × 1,982.46
  4. Step 4: Simplify right side
    3,832.53x = 11,390,957.44
  5. Step 5: Solve for x
    x = 11,390,957.44/3,832.53
  6. Step 6: Final answer
    x = 2,972.18

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1.5x scale

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.