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Finding the Fourth Proportional to 5,234.52, 7,223.79 and 2,965.70

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Solution

The fourth proportional to 5,234.52, 7,223.79 and 2,965.70 is: 4,092.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.52 : 7,223.79 = 2,965.70 : x
  2. Step 2: Convert to fraction form
    5,234.52/7,223.79 = 2,965.70/x
  3. Step 3: Cross multiply
    5,234.52x = 7,223.79 × 2,965.70
  4. Step 4: Simplify right side
    5,234.52x = 21,423,557.88
  5. Step 5: Solve for x
    x = 21,423,557.88/5,234.52
  6. Step 6: Final answer
    x = 4,092.75

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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.