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Finding the Fourth Proportional to 4,896.63, 6,757.26 and 2,658.47

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Solution

The fourth proportional to 4,896.63, 6,757.26 and 2,658.47 is: 3,668.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896.63 : 6,757.26 = 2,658.47 : x
  2. Step 2: Convert to fraction form
    4,896.63/6,757.26 = 2,658.47/x
  3. Step 3: Cross multiply
    4,896.63x = 6,757.26 × 2,658.47
  4. Step 4: Simplify right side
    4,896.63x = 17,963,939.21
  5. Step 5: Solve for x
    x = 17,963,939.21/4,896.63
  6. Step 6: Final answer
    x = 3,668.63

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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.