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Finding the Fourth Proportional to 3,649.96, 5,037.14 and 1,993.96

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Solution

The fourth proportional to 3,649.96, 5,037.14 and 1,993.96 is: 2,751.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.96 : 5,037.14 = 1,993.96 : x
  2. Step 2: Convert to fraction form
    3,649.96/5,037.14 = 1,993.96/x
  3. Step 3: Cross multiply
    3,649.96x = 5,037.14 × 1,993.96
  4. Step 4: Simplify right side
    3,649.96x = 10,043,855.67
  5. Step 5: Solve for x
    x = 10,043,855.67/3,649.96
  6. Step 6: Final answer
    x = 2,751.77

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1.5x scale

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.