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Finding the Fourth Proportional to 4,668.87, 7,003.20 and 3,843.82

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Solution

The fourth proportional to 4,668.87, 7,003.20 and 3,843.82 is: 5,765.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,668.87 : 7,003.20 = 3,843.82 : x
  2. Step 2: Convert to fraction form
    4,668.87/7,003.20 = 3,843.82/x
  3. Step 3: Cross multiply
    4,668.87x = 7,003.20 × 3,843.82
  4. Step 4: Simplify right side
    4,668.87x = 26,919,005.21
  5. Step 5: Solve for x
    x = 26,919,005.21/4,668.87
  6. Step 6: Final answer
    x = 5,765.64

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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.