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Finding the Fourth Proportional to 5,936.25, 8,192.16 and 3,844.02

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Solution

The fourth proportional to 5,936.25, 8,192.16 and 3,844.02 is: 5,304.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,936.25 : 8,192.16 = 3,844.02 : x
  2. Step 2: Convert to fraction form
    5,936.25/8,192.16 = 3,844.02/x
  3. Step 3: Cross multiply
    5,936.25x = 8,192.16 × 3,844.02
  4. Step 4: Simplify right side
    5,936.25x = 31,490,826.88
  5. Step 5: Solve for x
    x = 31,490,826.88/5,936.25
  6. Step 6: Final answer
    x = 5,304.84

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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.