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Finding the Fourth Proportional to 4,896.37, 6,756.97 and 2,658.23

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Solution

The fourth proportional to 4,896.37, 6,756.97 and 2,658.23 is: 3,668.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896.37 : 6,756.97 = 2,658.23 : x
  2. Step 2: Convert to fraction form
    4,896.37/6,756.97 = 2,658.23/x
  3. Step 3: Cross multiply
    4,896.37x = 6,756.97 × 2,658.23
  4. Step 4: Simplify right side
    4,896.37x = 17,961,556.83
  5. Step 5: Solve for x
    x = 17,961,556.83/4,896.37
  6. Step 6: Final answer
    x = 3,668.34

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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.