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Finding the Fourth Proportional to 4,563.91, 6,845.86 and 1,791.88

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Solution

The fourth proportional to 4,563.91, 6,845.86 and 1,791.88 is: 2,687.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,563.91 : 6,845.86 = 1,791.88 : x
  2. Step 2: Convert to fraction form
    4,563.91/6,845.86 = 1,791.88/x
  3. Step 3: Cross multiply
    4,563.91x = 6,845.86 × 1,791.88
  4. Step 4: Simplify right side
    4,563.91x = 12,266,972.25
  5. Step 5: Solve for x
    x = 12,266,972.25/4,563.91
  6. Step 6: Final answer
    x = 2,687.82

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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.