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Finding the Fourth Proportional to 4,198.75, 5,798.17 and 2,709.23

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Solution

The fourth proportional to 4,198.75, 5,798.17 and 2,709.23 is: 3,741.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.75 : 5,798.17 = 2,709.23 : x
  2. Step 2: Convert to fraction form
    4,198.75/5,798.17 = 2,709.23/x
  3. Step 3: Cross multiply
    4,198.75x = 5,798.17 × 2,709.23
  4. Step 4: Simplify right side
    4,198.75x = 15,708,576.11
  5. Step 5: Solve for x
    x = 15,708,576.11/4,198.75
  6. Step 6: Final answer
    x = 3,741.25

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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.