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Finding the Fourth Proportional to 4,896.49, 6,757.14 and 2,658.35

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Solution

The fourth proportional to 4,896.49, 6,757.14 and 2,658.35 is: 3,668.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896.49 : 6,757.14 = 2,658.35 : x
  2. Step 2: Convert to fraction form
    4,896.49/6,757.14 = 2,658.35/x
  3. Step 3: Cross multiply
    4,896.49x = 6,757.14 × 2,658.35
  4. Step 4: Simplify right side
    4,896.49x = 17,962,843.12
  5. Step 5: Solve for x
    x = 17,962,843.12/4,896.49
  6. Step 6: Final answer
    x = 3,668.51

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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.