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Finding the Fourth Proportional to 6,481.88, 8,944.80 and 3,649.42

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Solution

The fourth proportional to 6,481.88, 8,944.80 and 3,649.42 is: 5,036.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.88 : 8,944.80 = 3,649.42 : x
  2. Step 2: Convert to fraction form
    6,481.88/8,944.80 = 3,649.42/x
  3. Step 3: Cross multiply
    6,481.88x = 8,944.80 × 3,649.42
  4. Step 4: Simplify right side
    6,481.88x = 32,643,332.02
  5. Step 5: Solve for x
    x = 32,643,332.02/6,481.88
  6. Step 6: Final answer
    x = 5,036.09

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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.