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Finding the Fourth Proportional to 5,758.52, 7,939.49 and 3,765.92

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Solution

The fourth proportional to 5,758.52, 7,939.49 and 3,765.92 is: 5,192.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,758.52 : 7,939.49 = 3,765.92 : x
  2. Step 2: Convert to fraction form
    5,758.52/7,939.49 = 3,765.92/x
  3. Step 3: Cross multiply
    5,758.52x = 7,939.49 × 3,765.92
  4. Step 4: Simplify right side
    5,758.52x = 29,899,425.65
  5. Step 5: Solve for x
    x = 29,899,425.65/5,758.52
  6. Step 6: Final answer
    x = 5,192.21

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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.