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Finding the Fourth Proportional to 4,832.48, 6,682.25 and 3,836.04

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Solution

The fourth proportional to 4,832.48, 6,682.25 and 3,836.04 is: 5,304.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,832.48 : 6,682.25 = 3,836.04 : x
  2. Step 2: Convert to fraction form
    4,832.48/6,682.25 = 3,836.04/x
  3. Step 3: Cross multiply
    4,832.48x = 6,682.25 × 3,836.04
  4. Step 4: Simplify right side
    4,832.48x = 25,633,362.82
  5. Step 5: Solve for x
    x = 25,633,362.82/4,832.48
  6. Step 6: Final answer
    x = 5,304.39

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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.