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Finding the Fourth Proportional to 3,879.48, 5,353.38 and 2,200.95

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Solution

The fourth proportional to 3,879.48, 5,353.38 and 2,200.95 is: 3,037.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879.48 : 5,353.38 = 2,200.95 : x
  2. Step 2: Convert to fraction form
    3,879.48/5,353.38 = 2,200.95/x
  3. Step 3: Cross multiply
    3,879.48x = 5,353.38 × 2,200.95
  4. Step 4: Simplify right side
    3,879.48x = 11,782,521.71
  5. Step 5: Solve for x
    x = 11,782,521.71/3,879.48
  6. Step 6: Final answer
    x = 3,037.14

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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.