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Finding the Fourth Proportional to 4,227.46, 5,834.11 and 2,549.41

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Solution

The fourth proportional to 4,227.46, 5,834.11 and 2,549.41 is: 3,518.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,227.46 : 5,834.11 = 2,549.41 : x
  2. Step 2: Convert to fraction form
    4,227.46/5,834.11 = 2,549.41/x
  3. Step 3: Cross multiply
    4,227.46x = 5,834.11 × 2,549.41
  4. Step 4: Simplify right side
    4,227.46x = 14,873,546.59
  5. Step 5: Solve for x
    x = 14,873,546.59/4,227.46
  6. Step 6: Final answer
    x = 3,518.32

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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.