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Finding the Fourth Proportional to 5,932.80, 8,892.14 and 2,765.97

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Solution

The fourth proportional to 5,932.80, 8,892.14 and 2,765.97 is: 4,145.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,932.80 : 8,892.14 = 2,765.97 : x
  2. Step 2: Convert to fraction form
    5,932.80/8,892.14 = 2,765.97/x
  3. Step 3: Cross multiply
    5,932.80x = 8,892.14 × 2,765.97
  4. Step 4: Simplify right side
    5,932.80x = 24,595,378.65
  5. Step 5: Solve for x
    x = 24,595,378.65/5,932.80
  6. Step 6: Final answer
    x = 4,145.66

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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.