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Finding the Fourth Proportional to 3,609.92, 4,981.92 and 2,037.44

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Solution

The fourth proportional to 3,609.92, 4,981.92 and 2,037.44 is: 2,811.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,609.92 : 4,981.92 = 2,037.44 : x
  2. Step 2: Convert to fraction form
    3,609.92/4,981.92 = 2,037.44/x
  3. Step 3: Cross multiply
    3,609.92x = 4,981.92 × 2,037.44
  4. Step 4: Simplify right side
    3,609.92x = 10,150,363.08
  5. Step 5: Solve for x
    x = 10,150,363.08/3,609.92
  6. Step 6: Final answer
    x = 2,811.80

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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.