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Finding the Fourth Proportional to 5,977.19, 8,965.71 and 2,687.96

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Solution

The fourth proportional to 5,977.19, 8,965.71 and 2,687.96 is: 4,031.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,977.19 : 8,965.71 = 2,687.96 : x
  2. Step 2: Convert to fraction form
    5,977.19/8,965.71 = 2,687.96/x
  3. Step 3: Cross multiply
    5,977.19x = 8,965.71 × 2,687.96
  4. Step 4: Simplify right side
    5,977.19x = 24,099,469.85
  5. Step 5: Solve for x
    x = 24,099,469.85/5,977.19
  6. Step 6: Final answer
    x = 4,031.91

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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.