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Finding the Fourth Proportional to 4,296.12, 5,926.86 and 2,896.44

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Solution

The fourth proportional to 4,296.12, 5,926.86 and 2,896.44 is: 3,995.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,296.12 : 5,926.86 = 2,896.44 : x
  2. Step 2: Convert to fraction form
    4,296.12/5,926.86 = 2,896.44/x
  3. Step 3: Cross multiply
    4,296.12x = 5,926.86 × 2,896.44
  4. Step 4: Simplify right side
    4,296.12x = 17,166,794.38
  5. Step 5: Solve for x
    x = 17,166,794.38/4,296.12
  6. Step 6: Final answer
    x = 3,995.88

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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.