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Finding the Fourth Proportional to 4,169.64, 6,243.87 and 2,502.71

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Solution

The fourth proportional to 4,169.64, 6,243.87 and 2,502.71 is: 3,747.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,169.64 : 6,243.87 = 2,502.71 : x
  2. Step 2: Convert to fraction form
    4,169.64/6,243.87 = 2,502.71/x
  3. Step 3: Cross multiply
    4,169.64x = 6,243.87 × 2,502.71
  4. Step 4: Simplify right side
    4,169.64x = 15,626,611.50
  5. Step 5: Solve for x
    x = 15,626,611.50/4,169.64
  6. Step 6: Final answer
    x = 3,747.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.