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Finding the Fourth Proportional to 5,977.80, 8,961.84 and 2,084.94

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Solution

The fourth proportional to 5,977.80, 8,961.84 and 2,084.94 is: 3,125.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,977.80 : 8,961.84 = 2,084.94 : x
  2. Step 2: Convert to fraction form
    5,977.80/8,961.84 = 2,084.94/x
  3. Step 3: Cross multiply
    5,977.80x = 8,961.84 × 2,084.94
  4. Step 4: Simplify right side
    5,977.80x = 18,684,898.69
  5. Step 5: Solve for x
    x = 18,684,898.69/5,977.80
  6. Step 6: Final answer
    x = 3,125.71

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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.