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Finding the Fourth Proportional to 3,835.68, 5,748.12 and 2,193

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Solution

The fourth proportional to 3,835.68, 5,748.12 and 2,193 is: 3,286.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835.68 : 5,748.12 = 2,193 : x
  2. Step 2: Convert to fraction form
    3,835.68/5,748.12 = 2,193/x
  3. Step 3: Cross multiply
    3,835.68x = 5,748.12 × 2,193
  4. Step 4: Simplify right side
    3,835.68x = 12,605,627.16
  5. Step 5: Solve for x
    x = 12,605,627.16/3,835.68
  6. Step 6: Final answer
    x = 3,286.41

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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.