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Finding the Fourth Proportional to 5,977.87, 8,966.80 and 2,469.86

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Solution

The fourth proportional to 5,977.87, 8,966.80 and 2,469.86 is: 3,704.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,977.87 : 8,966.80 = 2,469.86 : x
  2. Step 2: Convert to fraction form
    5,977.87/8,966.80 = 2,469.86/x
  3. Step 3: Cross multiply
    5,977.87x = 8,966.80 × 2,469.86
  4. Step 4: Simplify right side
    5,977.87x = 22,146,732.53
  5. Step 5: Solve for x
    x = 22,146,732.53/5,977.87
  6. Step 6: Final answer
    x = 3,704.79

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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.