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Finding the Fourth Proportional to 5,797.13, 8,694.68 and 2,676.86

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Solution

The fourth proportional to 5,797.13, 8,694.68 and 2,676.86 is: 4,014.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797.13 : 8,694.68 = 2,676.86 : x
  2. Step 2: Convert to fraction form
    5,797.13/8,694.68 = 2,676.86/x
  3. Step 3: Cross multiply
    5,797.13x = 8,694.68 × 2,676.86
  4. Step 4: Simplify right side
    5,797.13x = 23,274,449.46
  5. Step 5: Solve for x
    x = 23,274,449.46/5,797.13
  6. Step 6: Final answer
    x = 4,014.83

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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.