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Finding the Fourth Proportional to 4,197.73, 6,290.46 and 3,736.44

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Solution

The fourth proportional to 4,197.73, 6,290.46 and 3,736.44 is: 5,599.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197.73 : 6,290.46 = 3,736.44 : x
  2. Step 2: Convert to fraction form
    4,197.73/6,290.46 = 3,736.44/x
  3. Step 3: Cross multiply
    4,197.73x = 6,290.46 × 3,736.44
  4. Step 4: Simplify right side
    4,197.73x = 23,503,926.36
  5. Step 5: Solve for x
    x = 23,503,926.36/4,197.73
  6. Step 6: Final answer
    x = 5,599.20

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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.