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Finding the Fourth Proportional to 4,049.80, 6,062 and 2,793.02

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Solution

The fourth proportional to 4,049.80, 6,062 and 2,793.02 is: 4,180.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,049.80 : 6,062 = 2,793.02 : x
  2. Step 2: Convert to fraction form
    4,049.80/6,062 = 2,793.02/x
  3. Step 3: Cross multiply
    4,049.80x = 6,062 × 2,793.02
  4. Step 4: Simplify right side
    4,049.80x = 16,931,287.24
  5. Step 5: Solve for x
    x = 16,931,287.24/4,049.80
  6. Step 6: Final answer
    x = 4,180.77

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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.