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Finding the Fourth Proportional to 3,049.72, 4,565.87 and 2,855.97

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Solution

The fourth proportional to 3,049.72, 4,565.87 and 2,855.97 is: 4,275.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049.72 : 4,565.87 = 2,855.97 : x
  2. Step 2: Convert to fraction form
    3,049.72/4,565.87 = 2,855.97/x
  3. Step 3: Cross multiply
    3,049.72x = 4,565.87 × 2,855.97
  4. Step 4: Simplify right side
    3,049.72x = 13,039,984.17
  5. Step 5: Solve for x
    x = 13,039,984.17/3,049.72
  6. Step 6: Final answer
    x = 4,275.79

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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.