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Finding the Fourth Proportional to 3,741.72, 5,163.39 and 2,063.22

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Solution

The fourth proportional to 3,741.72, 5,163.39 and 2,063.22 is: 2,847.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,741.72 : 5,163.39 = 2,063.22 : x
  2. Step 2: Convert to fraction form
    3,741.72/5,163.39 = 2,063.22/x
  3. Step 3: Cross multiply
    3,741.72x = 5,163.39 × 2,063.22
  4. Step 4: Simplify right side
    3,741.72x = 10,653,209.52
  5. Step 5: Solve for x
    x = 10,653,209.52/3,741.72
  6. Step 6: Final answer
    x = 2,847.14

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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.