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Finding the Fourth Proportional to 4,192.68, 6,296.32 and 3,863

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Solution

The fourth proportional to 4,192.68, 6,296.32 and 3,863 is: 5,801.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,192.68 : 6,296.32 = 3,863 : x
  2. Step 2: Convert to fraction form
    4,192.68/6,296.32 = 3,863/x
  3. Step 3: Cross multiply
    4,192.68x = 6,296.32 × 3,863
  4. Step 4: Simplify right side
    4,192.68x = 24,322,684.16
  5. Step 5: Solve for x
    x = 24,322,684.16/4,192.68
  6. Step 6: Final answer
    x = 5,801.23

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