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Finding the Fourth Proportional to 4,197.43, 6,296.73 and 1,857.25

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Solution

The fourth proportional to 4,197.43, 6,296.73 and 1,857.25 is: 2,786.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197.43 : 6,296.73 = 1,857.25 : x
  2. Step 2: Convert to fraction form
    4,197.43/6,296.73 = 1,857.25/x
  3. Step 3: Cross multiply
    4,197.43x = 6,296.73 × 1,857.25
  4. Step 4: Simplify right side
    4,197.43x = 11,694,601.79
  5. Step 5: Solve for x
    x = 11,694,601.79/4,197.43
  6. Step 6: Final answer
    x = 2,786.13

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