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Finding the Fourth Proportional to 3,747.26, 5,169.22 and 3,039.93

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Solution

The fourth proportional to 3,747.26, 5,169.22 and 3,039.93 is: 4,193.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747.26 : 5,169.22 = 3,039.93 : x
  2. Step 2: Convert to fraction form
    3,747.26/5,169.22 = 3,039.93/x
  3. Step 3: Cross multiply
    3,747.26x = 5,169.22 × 3,039.93
  4. Step 4: Simplify right side
    3,747.26x = 15,714,059.35
  5. Step 5: Solve for x
    x = 15,714,059.35/3,747.26
  6. Step 6: Final answer
    x = 4,193.48

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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.