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Finding the Fourth Proportional to 4,986.22, 7,471.13 and 3,952.86

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Solution

The fourth proportional to 4,986.22, 7,471.13 and 3,952.86 is: 5,922.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,986.22 : 7,471.13 = 3,952.86 : x
  2. Step 2: Convert to fraction form
    4,986.22/7,471.13 = 3,952.86/x
  3. Step 3: Cross multiply
    4,986.22x = 7,471.13 × 3,952.86
  4. Step 4: Simplify right side
    4,986.22x = 29,532,339.73
  5. Step 5: Solve for x
    x = 29,532,339.73/4,986.22
  6. Step 6: Final answer
    x = 5,922.79

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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.