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Finding the Fourth Proportional to 3,741.63, 5,163.74 and 2,169.96

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Solution

The fourth proportional to 3,741.63, 5,163.74 and 2,169.96 is: 2,994.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,741.63 : 5,163.74 = 2,169.96 : x
  2. Step 2: Convert to fraction form
    3,741.63/5,163.74 = 2,169.96/x
  3. Step 3: Cross multiply
    3,741.63x = 5,163.74 × 2,169.96
  4. Step 4: Simplify right side
    3,741.63x = 11,205,098.40
  5. Step 5: Solve for x
    x = 11,205,098.40/3,741.63
  6. Step 6: Final answer
    x = 2,994.71

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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.