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Finding the Fourth Proportional to 5,805.27, 8,708.51 and 3,843.65

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Solution

The fourth proportional to 5,805.27, 8,708.51 and 3,843.65 is: 5,765.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,805.27 : 8,708.51 = 3,843.65 : x
  2. Step 2: Convert to fraction form
    5,805.27/8,708.51 = 3,843.65/x
  3. Step 3: Cross multiply
    5,805.27x = 8,708.51 × 3,843.65
  4. Step 4: Simplify right side
    5,805.27x = 33,472,495.84
  5. Step 5: Solve for x
    x = 33,472,495.84/5,805.27
  6. Step 6: Final answer
    x = 5,765.88

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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.