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Finding the Fourth Proportional to 5,952.69, 8,937.14 and 3,033.09

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Solution

The fourth proportional to 5,952.69, 8,937.14 and 3,033.09 is: 4,553.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,952.69 : 8,937.14 = 3,033.09 : x
  2. Step 2: Convert to fraction form
    5,952.69/8,937.14 = 3,033.09/x
  3. Step 3: Cross multiply
    5,952.69x = 8,937.14 × 3,033.09
  4. Step 4: Simplify right side
    5,952.69x = 27,107,134.80
  5. Step 5: Solve for x
    x = 27,107,134.80/5,952.69
  6. Step 6: Final answer
    x = 4,553.76

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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.