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Finding the Fourth Proportional to 4,642.82, 6,956.13 and 3,867.80

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Solution

The fourth proportional to 4,642.82, 6,956.13 and 3,867.80 is: 5,794.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.82 : 6,956.13 = 3,867.80 : x
  2. Step 2: Convert to fraction form
    4,642.82/6,956.13 = 3,867.80/x
  3. Step 3: Cross multiply
    4,642.82x = 6,956.13 × 3,867.80
  4. Step 4: Simplify right side
    4,642.82x = 26,904,937.00
  5. Step 5: Solve for x
    x = 26,904,937.00/4,642.82
  6. Step 6: Final answer
    x = 5,794.95

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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.