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Finding the Fourth Proportional to 5,305.47, 7,960.97 and 2,964.03

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Solution

The fourth proportional to 5,305.47, 7,960.97 and 2,964.03 is: 4,447.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305.47 : 7,960.97 = 2,964.03 : x
  2. Step 2: Convert to fraction form
    5,305.47/7,960.97 = 2,964.03/x
  3. Step 3: Cross multiply
    5,305.47x = 7,960.97 × 2,964.03
  4. Step 4: Simplify right side
    5,305.47x = 23,596,553.91
  5. Step 5: Solve for x
    x = 23,596,553.91/5,305.47
  6. Step 6: Final answer
    x = 4,447.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.