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Finding the Fourth Proportional to 4,243.68, 5,855.22 and 2,474.64

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Solution

The fourth proportional to 4,243.68, 5,855.22 and 2,474.64 is: 3,414.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,243.68 : 5,855.22 = 2,474.64 : x
  2. Step 2: Convert to fraction form
    4,243.68/5,855.22 = 2,474.64/x
  3. Step 3: Cross multiply
    4,243.68x = 5,855.22 × 2,474.64
  4. Step 4: Simplify right side
    4,243.68x = 14,489,561.62
  5. Step 5: Solve for x
    x = 14,489,561.62/4,243.68
  6. Step 6: Final answer
    x = 3,414.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.