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Finding the Fourth Proportional to 4,227.44, 5,834.21 and 2,458.94

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Solution

The fourth proportional to 4,227.44, 5,834.21 and 2,458.94 is: 3,393.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,227.44 : 5,834.21 = 2,458.94 : x
  2. Step 2: Convert to fraction form
    4,227.44/5,834.21 = 2,458.94/x
  3. Step 3: Cross multiply
    4,227.44x = 5,834.21 × 2,458.94
  4. Step 4: Simplify right side
    4,227.44x = 14,345,930.87
  5. Step 5: Solve for x
    x = 14,345,930.87/4,227.44
  6. Step 6: Final answer
    x = 3,393.53

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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.