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Finding the Fourth Proportional to 4,198.59, 5,797.95 and 2,709.09

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Solution

The fourth proportional to 4,198.59, 5,797.95 and 2,709.09 is: 3,741.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.59 : 5,797.95 = 2,709.09 : x
  2. Step 2: Convert to fraction form
    4,198.59/5,797.95 = 2,709.09/x
  3. Step 3: Cross multiply
    4,198.59x = 5,797.95 × 2,709.09
  4. Step 4: Simplify right side
    4,198.59x = 15,707,168.37
  5. Step 5: Solve for x
    x = 15,707,168.37/4,198.59
  6. Step 6: Final answer
    x = 3,741.06

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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.