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Finding the Fourth Proportional to 3,891.96, 5,830.13 and 3,687.54

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Solution

The fourth proportional to 3,891.96, 5,830.13 and 3,687.54 is: 5,523.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.96 : 5,830.13 = 3,687.54 : x
  2. Step 2: Convert to fraction form
    3,891.96/5,830.13 = 3,687.54/x
  3. Step 3: Cross multiply
    3,891.96x = 5,830.13 × 3,687.54
  4. Step 4: Simplify right side
    3,891.96x = 21,498,837.58
  5. Step 5: Solve for x
    x = 21,498,837.58/3,891.96
  6. Step 6: Final answer
    x = 5,523.91

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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.