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Finding the Fourth Proportional to 5,352.66, 8,031.02 and 2,231.82

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Solution

The fourth proportional to 5,352.66, 8,031.02 and 2,231.82 is: 3,348.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,352.66 : 8,031.02 = 2,231.82 : x
  2. Step 2: Convert to fraction form
    5,352.66/8,031.02 = 2,231.82/x
  3. Step 3: Cross multiply
    5,352.66x = 8,031.02 × 2,231.82
  4. Step 4: Simplify right side
    5,352.66x = 17,923,791.06
  5. Step 5: Solve for x
    x = 17,923,791.06/5,352.66
  6. Step 6: Final answer
    x = 3,348.58

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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.