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Finding the Fourth Proportional to 5,717.43, 8,576.15 and 1,822.14

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Solution

The fourth proportional to 5,717.43, 8,576.15 and 1,822.14 is: 2,733.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,717.43 : 8,576.15 = 1,822.14 : x
  2. Step 2: Convert to fraction form
    5,717.43/8,576.15 = 1,822.14/x
  3. Step 3: Cross multiply
    5,717.43x = 8,576.15 × 1,822.14
  4. Step 4: Simplify right side
    5,717.43x = 15,626,936.85
  5. Step 5: Solve for x
    x = 15,626,936.85/5,717.43
  6. Step 6: Final answer
    x = 2,733.21

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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.