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Finding the Fourth Proportional to 4,896.83, 6,757.44 and 2,658.66

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Solution

The fourth proportional to 4,896.83, 6,757.44 and 2,658.66 is: 3,668.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896.83 : 6,757.44 = 2,658.66 : x
  2. Step 2: Convert to fraction form
    4,896.83/6,757.44 = 2,658.66/x
  3. Step 3: Cross multiply
    4,896.83x = 6,757.44 × 2,658.66
  4. Step 4: Simplify right side
    4,896.83x = 17,965,735.43
  5. Step 5: Solve for x
    x = 17,965,735.43/4,896.83
  6. Step 6: Final answer
    x = 3,668.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.