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Finding the Fourth Proportional to 3,741.62, 5,163.35 and 2,063.00

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Solution

The fourth proportional to 3,741.62, 5,163.35 and 2,063.00 is: 2,846.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,741.62 : 5,163.35 = 2,063.00 : x
  2. Step 2: Convert to fraction form
    3,741.62/5,163.35 = 2,063.00/x
  3. Step 3: Cross multiply
    3,741.62x = 5,163.35 × 2,063.00
  4. Step 4: Simplify right side
    3,741.62x = 10,651,970.39
  5. Step 5: Solve for x
    x = 10,651,970.39/3,741.62
  6. Step 6: Final answer
    x = 2,846.89

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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.