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Finding the Fourth Proportional to 4,198.77, 6,297.17 and 1,857.49

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Solution

The fourth proportional to 4,198.77, 6,297.17 and 1,857.49 is: 2,785.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.77 : 6,297.17 = 1,857.49 : x
  2. Step 2: Convert to fraction form
    4,198.77/6,297.17 = 1,857.49/x
  3. Step 3: Cross multiply
    4,198.77x = 6,297.17 × 1,857.49
  4. Step 4: Simplify right side
    4,198.77x = 11,696,905.27
  5. Step 5: Solve for x
    x = 11,696,905.27/4,198.77
  6. Step 6: Final answer
    x = 2,785.79

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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.