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Finding the Fourth Proportional to 4,896.43, 6,757.05 and 2,658.29

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Solution

The fourth proportional to 4,896.43, 6,757.05 and 2,658.29 is: 3,668.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896.43 : 6,757.05 = 2,658.29 : x
  2. Step 2: Convert to fraction form
    4,896.43/6,757.05 = 2,658.29/x
  3. Step 3: Cross multiply
    4,896.43x = 6,757.05 × 2,658.29
  4. Step 4: Simplify right side
    4,896.43x = 17,962,199.97
  5. Step 5: Solve for x
    x = 17,962,199.97/4,896.43
  6. Step 6: Final answer
    x = 3,668.43

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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.