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Finding the Fourth Proportional to 5,254.88, 7,251.36 and 2,896.80

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Solution

The fourth proportional to 5,254.88, 7,251.36 and 2,896.80 is: 3,997.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,254.88 : 7,251.36 = 2,896.80 : x
  2. Step 2: Convert to fraction form
    5,254.88/7,251.36 = 2,896.80/x
  3. Step 3: Cross multiply
    5,254.88x = 7,251.36 × 2,896.80
  4. Step 4: Simplify right side
    5,254.88x = 21,005,739.65
  5. Step 5: Solve for x
    x = 21,005,739.65/5,254.88
  6. Step 6: Final answer
    x = 3,997.38

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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.