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Finding the Fourth Proportional to 3,882.58, 5,819.01 and 3,057.59

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Solution

The fourth proportional to 3,882.58, 5,819.01 and 3,057.59 is: 4,582.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.58 : 5,819.01 = 3,057.59 : x
  2. Step 2: Convert to fraction form
    3,882.58/5,819.01 = 3,057.59/x
  3. Step 3: Cross multiply
    3,882.58x = 5,819.01 × 3,057.59
  4. Step 4: Simplify right side
    3,882.58x = 17,792,131.50
  5. Step 5: Solve for x
    x = 17,792,131.50/3,882.58
  6. Step 6: Final answer
    x = 4,582.56

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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.