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Finding the Fourth Proportional to 4,491.20, 6,196.14 and 2,811.92

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Solution

The fourth proportional to 4,491.20, 6,196.14 and 2,811.92 is: 3,879.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,491.20 : 6,196.14 = 2,811.92 : x
  2. Step 2: Convert to fraction form
    4,491.20/6,196.14 = 2,811.92/x
  3. Step 3: Cross multiply
    4,491.20x = 6,196.14 × 2,811.92
  4. Step 4: Simplify right side
    4,491.20x = 17,423,049.99
  5. Step 5: Solve for x
    x = 17,423,049.99/4,491.20
  6. Step 6: Final answer
    x = 3,879.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.