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Finding the Fourth Proportional to 5,203.97, 7,180.98 and 2,965.79

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Solution

The fourth proportional to 5,203.97, 7,180.98 and 2,965.79 is: 4,092.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,203.97 : 7,180.98 = 2,965.79 : x
  2. Step 2: Convert to fraction form
    5,203.97/7,180.98 = 2,965.79/x
  3. Step 3: Cross multiply
    5,203.97x = 7,180.98 × 2,965.79
  4. Step 4: Simplify right side
    5,203.97x = 21,297,278.67
  5. Step 5: Solve for x
    x = 21,297,278.67/5,203.97
  6. Step 6: Final answer
    x = 4,092.51

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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.