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Finding the Fourth Proportional to 5,796.18, 8,694.30 and 2,873.80

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Solution

The fourth proportional to 5,796.18, 8,694.30 and 2,873.80 is: 4,310.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796.18 : 8,694.30 = 2,873.80 : x
  2. Step 2: Convert to fraction form
    5,796.18/8,694.30 = 2,873.80/x
  3. Step 3: Cross multiply
    5,796.18x = 8,694.30 × 2,873.80
  4. Step 4: Simplify right side
    5,796.18x = 24,985,679.34
  5. Step 5: Solve for x
    x = 24,985,679.34/5,796.18
  6. Step 6: Final answer
    x = 4,310.71

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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.