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Finding the Fourth Proportional to 3,197.97, 4,785.08 and 2,806.13

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Solution

The fourth proportional to 3,197.97, 4,785.08 and 2,806.13 is: 4,198.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.97 : 4,785.08 = 2,806.13 : x
  2. Step 2: Convert to fraction form
    3,197.97/4,785.08 = 2,806.13/x
  3. Step 3: Cross multiply
    3,197.97x = 4,785.08 × 2,806.13
  4. Step 4: Simplify right side
    3,197.97x = 13,427,542.51
  5. Step 5: Solve for x
    x = 13,427,542.51/3,197.97
  6. Step 6: Final answer
    x = 4,198.77

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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.