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Finding the Fourth Proportional to 5,717.52, 8,576.22 and 1,822.26

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Solution

The fourth proportional to 5,717.52, 8,576.22 and 1,822.26 is: 2,733.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,717.52 : 8,576.22 = 1,822.26 : x
  2. Step 2: Convert to fraction form
    5,717.52/8,576.22 = 1,822.26/x
  3. Step 3: Cross multiply
    5,717.52x = 8,576.22 × 1,822.26
  4. Step 4: Simplify right side
    5,717.52x = 15,628,102.66
  5. Step 5: Solve for x
    x = 15,628,102.66/5,717.52
  6. Step 6: Final answer
    x = 2,733.37

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Why These Related Problems?

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