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Finding the Fourth Proportional to 5,375.46, 8,072.46 and 3,197.88

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Solution

The fourth proportional to 5,375.46, 8,072.46 and 3,197.88 is: 4,802.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,375.46 : 8,072.46 = 3,197.88 : x
  2. Step 2: Convert to fraction form
    5,375.46/8,072.46 = 3,197.88/x
  3. Step 3: Cross multiply
    5,375.46x = 8,072.46 × 3,197.88
  4. Step 4: Simplify right side
    5,375.46x = 25,814,758.38
  5. Step 5: Solve for x
    x = 25,814,758.38/5,375.46
  6. Step 6: Final answer
    x = 4,802.33

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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.