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Finding the Fourth Proportional to 4,198.64, 5,794.77 and 2,406.17

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Solution

The fourth proportional to 4,198.64, 5,794.77 and 2,406.17 is: 3,320.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.64 : 5,794.77 = 2,406.17 : x
  2. Step 2: Convert to fraction form
    4,198.64/5,794.77 = 2,406.17/x
  3. Step 3: Cross multiply
    4,198.64x = 5,794.77 × 2,406.17
  4. Step 4: Simplify right side
    4,198.64x = 13,943,201.73
  5. Step 5: Solve for x
    x = 13,943,201.73/4,198.64
  6. Step 6: Final answer
    x = 3,320.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.