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Finding the Fourth Proportional to 4,198.07, 6,296.12 and 1,856.80

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Solution

The fourth proportional to 4,198.07, 6,296.12 and 1,856.80 is: 2,784.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.07 : 6,296.12 = 1,856.80 : x
  2. Step 2: Convert to fraction form
    4,198.07/6,296.12 = 1,856.80/x
  3. Step 3: Cross multiply
    4,198.07x = 6,296.12 × 1,856.80
  4. Step 4: Simplify right side
    4,198.07x = 11,690,635.62
  5. Step 5: Solve for x
    x = 11,690,635.62/4,198.07
  6. Step 6: Final answer
    x = 2,784.76

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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.