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Finding the Fourth Proportional to 5,867.70, 8,797.90 and 3,272.46

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Solution

The fourth proportional to 5,867.70, 8,797.90 and 3,272.46 is: 4,906.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,867.70 : 8,797.90 = 3,272.46 : x
  2. Step 2: Convert to fraction form
    5,867.70/8,797.90 = 3,272.46/x
  3. Step 3: Cross multiply
    5,867.70x = 8,797.90 × 3,272.46
  4. Step 4: Simplify right side
    5,867.70x = 28,790,775.83
  5. Step 5: Solve for x
    x = 28,790,775.83/5,867.70
  6. Step 6: Final answer
    x = 4,906.65

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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.