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Finding the Fourth Proportional to 3,163.38, 4,365.35 and 1,747.03

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Solution

The fourth proportional to 3,163.38, 4,365.35 and 1,747.03 is: 2,410.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.38 : 4,365.35 = 1,747.03 : x
  2. Step 2: Convert to fraction form
    3,163.38/4,365.35 = 1,747.03/x
  3. Step 3: Cross multiply
    3,163.38x = 4,365.35 × 1,747.03
  4. Step 4: Simplify right side
    3,163.38x = 7,626,397.41
  5. Step 5: Solve for x
    x = 7,626,397.41/3,163.38
  6. Step 6: Final answer
    x = 2,410.84

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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.