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Finding the Fourth Proportional to 4,896.51, 6,757.18 and 2,658.38

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Solution

The fourth proportional to 4,896.51, 6,757.18 and 2,658.38 is: 3,668.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896.51 : 6,757.18 = 2,658.38 : x
  2. Step 2: Convert to fraction form
    4,896.51/6,757.18 = 2,658.38/x
  3. Step 3: Cross multiply
    4,896.51x = 6,757.18 × 2,658.38
  4. Step 4: Simplify right side
    4,896.51x = 17,963,177.94
  5. Step 5: Solve for x
    x = 17,963,177.94/4,896.51
  6. Step 6: Final answer
    x = 3,668.57

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Why These Related Problems?

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