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Finding the Fourth Proportional to 5,789.82, 8,668.44 and 4,819.44

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Solution

The fourth proportional to 5,789.82, 8,668.44 and 4,819.44 is: 7,215.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,789.82 : 8,668.44 = 4,819.44 : x
  2. Step 2: Convert to fraction form
    5,789.82/8,668.44 = 4,819.44/x
  3. Step 3: Cross multiply
    5,789.82x = 8,668.44 × 4,819.44
  4. Step 4: Simplify right side
    5,789.82x = 41,777,026.47
  5. Step 5: Solve for x
    x = 41,777,026.47/5,789.82
  6. Step 6: Final answer
    x = 7,215.60

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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.