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Finding the Fourth Proportional to 3,739.92, 5,620.13 and 3,496.09

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Solution

The fourth proportional to 3,739.92, 5,620.13 and 3,496.09 is: 5,253.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,739.92 : 5,620.13 = 3,496.09 : x
  2. Step 2: Convert to fraction form
    3,739.92/5,620.13 = 3,496.09/x
  3. Step 3: Cross multiply
    3,739.92x = 5,620.13 × 3,496.09
  4. Step 4: Simplify right side
    3,739.92x = 19,648,476.27
  5. Step 5: Solve for x
    x = 19,648,476.27/3,739.92
  6. Step 6: Final answer
    x = 5,253.71

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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.