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Finding the Fourth Proportional to 5,254.62, 7,251.30 and 2,896.68

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Solution

The fourth proportional to 5,254.62, 7,251.30 and 2,896.68 is: 3,997.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,254.62 : 7,251.30 = 2,896.68 : x
  2. Step 2: Convert to fraction form
    5,254.62/7,251.30 = 2,896.68/x
  3. Step 3: Cross multiply
    5,254.62x = 7,251.30 × 2,896.68
  4. Step 4: Simplify right side
    5,254.62x = 21,004,695.68
  5. Step 5: Solve for x
    x = 21,004,695.68/5,254.62
  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.