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Finding the Fourth Proportional to 3,705.68, 5,113.85 and 2,027.09

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Solution

The fourth proportional to 3,705.68, 5,113.85 and 2,027.09 is: 2,797.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.68 : 5,113.85 = 2,027.09 : x
  2. Step 2: Convert to fraction form
    3,705.68/5,113.85 = 2,027.09/x
  3. Step 3: Cross multiply
    3,705.68x = 5,113.85 × 2,027.09
  4. Step 4: Simplify right side
    3,705.68x = 10,366,198.49
  5. Step 5: Solve for x
    x = 10,366,198.49/3,705.68
  6. Step 6: Final answer
    x = 2,797.38

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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.