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Finding the Fourth Proportional to 3,741.84, 5,163.66 and 2,063.16

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Solution

The fourth proportional to 3,741.84, 5,163.66 and 2,063.16 is: 2,847.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,741.84 : 5,163.66 = 2,063.16 : x
  2. Step 2: Convert to fraction form
    3,741.84/5,163.66 = 2,063.16/x
  3. Step 3: Cross multiply
    3,741.84x = 5,163.66 × 2,063.16
  4. Step 4: Simplify right side
    3,741.84x = 10,653,456.77
  5. Step 5: Solve for x
    x = 10,653,456.77/3,741.84
  6. Step 6: Final answer
    x = 2,847.12

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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.