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Finding the Fourth Proportional to 4,197.75, 6,297.75 and 3,738.68

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Solution

The fourth proportional to 4,197.75, 6,297.75 and 3,738.68 is: 5,609.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197.75 : 6,297.75 = 3,738.68 : x
  2. Step 2: Convert to fraction form
    4,197.75/6,297.75 = 3,738.68/x
  3. Step 3: Cross multiply
    4,197.75x = 6,297.75 × 3,738.68
  4. Step 4: Simplify right side
    4,197.75x = 23,545,287.71
  5. Step 5: Solve for x
    x = 23,545,287.71/4,197.75
  6. Step 6: Final answer
    x = 5,609.03

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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.