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Finding the Fourth Proportional to 4,137.44, 5,709.03 and 2,458.22

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Solution

The fourth proportional to 4,137.44, 5,709.03 and 2,458.22 is: 3,391.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,137.44 : 5,709.03 = 2,458.22 : x
  2. Step 2: Convert to fraction form
    4,137.44/5,709.03 = 2,458.22/x
  3. Step 3: Cross multiply
    4,137.44x = 5,709.03 × 2,458.22
  4. Step 4: Simplify right side
    4,137.44x = 14,034,046.57
  5. Step 5: Solve for x
    x = 14,034,046.57/4,137.44
  6. Step 6: Final answer
    x = 3,391.97

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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.