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Finding the Fourth Proportional to 5,935.96, 8,192.24 and 3,418.16

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Solution

The fourth proportional to 5,935.96, 8,192.24 and 3,418.16 is: 4,717.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,935.96 : 8,192.24 = 3,418.16 : x
  2. Step 2: Convert to fraction form
    5,935.96/8,192.24 = 3,418.16/x
  3. Step 3: Cross multiply
    5,935.96x = 8,192.24 × 3,418.16
  4. Step 4: Simplify right side
    5,935.96x = 28,002,387.08
  5. Step 5: Solve for x
    x = 28,002,387.08/5,935.96
  6. Step 6: Final answer
    x = 4,717.42

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