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Finding the Fourth Proportional to 4,568.74, 6,853.16 and 3,906.33

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Solution

The fourth proportional to 4,568.74, 6,853.16 and 3,906.33 is: 5,859.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,568.74 : 6,853.16 = 3,906.33 : x
  2. Step 2: Convert to fraction form
    4,568.74/6,853.16 = 3,906.33/x
  3. Step 3: Cross multiply
    4,568.74x = 6,853.16 × 3,906.33
  4. Step 4: Simplify right side
    4,568.74x = 26,770,704.50
  5. Step 5: Solve for x
    x = 26,770,704.50/4,568.74
  6. Step 6: Final answer
    x = 5,859.54

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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.