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Finding the Fourth Proportional to 5,576.97, 8,358.16 and 2,286.21

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Solution

The fourth proportional to 5,576.97, 8,358.16 and 2,286.21 is: 3,426.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,576.97 : 8,358.16 = 2,286.21 : x
  2. Step 2: Convert to fraction form
    5,576.97/8,358.16 = 2,286.21/x
  3. Step 3: Cross multiply
    5,576.97x = 8,358.16 × 2,286.21
  4. Step 4: Simplify right side
    5,576.97x = 19,108,508.97
  5. Step 5: Solve for x
    x = 19,108,508.97/5,576.97
  6. Step 6: Final answer
    x = 3,426.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.