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Finding the Fourth Proportional to 5,255.82, 7,251.99 and 2,897.82

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Solution

The fourth proportional to 5,255.82, 7,251.99 and 2,897.82 is: 3,998.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,255.82 : 7,251.99 = 2,897.82 : x
  2. Step 2: Convert to fraction form
    5,255.82/7,251.99 = 2,897.82/x
  3. Step 3: Cross multiply
    5,255.82x = 7,251.99 × 2,897.82
  4. Step 4: Simplify right side
    5,255.82x = 21,014,961.66
  5. Step 5: Solve for x
    x = 21,014,961.66/5,255.82
  6. Step 6: Final answer
    x = 3,998.42

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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.