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Finding the Fourth Proportional to 4,227.60, 5,836.13 and 2,813.64

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Solution

The fourth proportional to 4,227.60, 5,836.13 and 2,813.64 is: 3,884.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,227.60 : 5,836.13 = 2,813.64 : x
  2. Step 2: Convert to fraction form
    4,227.60/5,836.13 = 2,813.64/x
  3. Step 3: Cross multiply
    4,227.60x = 5,836.13 × 2,813.64
  4. Step 4: Simplify right side
    4,227.60x = 16,420,754.75
  5. Step 5: Solve for x
    x = 16,420,754.75/4,227.60
  6. Step 6: Final answer
    x = 3,884.18

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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.