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Finding the Fourth Proportional to 3,834.96, 5,745.11 and 3,214.23

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Solution

The fourth proportional to 3,834.96, 5,745.11 and 3,214.23 is: 4,815.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.96 : 5,745.11 = 3,214.23 : x
  2. Step 2: Convert to fraction form
    3,834.96/5,745.11 = 3,214.23/x
  3. Step 3: Cross multiply
    3,834.96x = 5,745.11 × 3,214.23
  4. Step 4: Simplify right side
    3,834.96x = 18,466,096.88
  5. Step 5: Solve for x
    x = 18,466,096.88/3,834.96
  6. Step 6: Final answer
    x = 4,815.20

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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.