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Finding the Fourth Proportional to 3,835.92, 5,749.92 and 2,100.88

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Solution

The fourth proportional to 3,835.92, 5,749.92 and 2,100.88 is: 3,149.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835.92 : 5,749.92 = 2,100.88 : x
  2. Step 2: Convert to fraction form
    3,835.92/5,749.92 = 2,100.88/x
  3. Step 3: Cross multiply
    3,835.92x = 5,749.92 × 2,100.88
  4. Step 4: Simplify right side
    3,835.92x = 12,079,891.93
  5. Step 5: Solve for x
    x = 12,079,891.93/3,835.92
  6. Step 6: Final answer
    x = 3,149.15

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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.