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Finding the Fourth Proportional to 5,882.49, 8,819.09 and 4,027.98

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Solution

The fourth proportional to 5,882.49, 8,819.09 and 4,027.98 is: 6,038.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,882.49 : 8,819.09 = 4,027.98 : x
  2. Step 2: Convert to fraction form
    5,882.49/8,819.09 = 4,027.98/x
  3. Step 3: Cross multiply
    5,882.49x = 8,819.09 × 4,027.98
  4. Step 4: Simplify right side
    5,882.49x = 35,523,118.14
  5. Step 5: Solve for x
    x = 35,523,118.14/5,882.49
  6. Step 6: Final answer
    x = 6,038.79

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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.