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Finding the Fourth Proportional to 4,896.26, 6,760.35 and 3,010.38

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Solution

The fourth proportional to 4,896.26, 6,760.35 and 3,010.38 is: 4,156.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896.26 : 6,760.35 = 3,010.38 : x
  2. Step 2: Convert to fraction form
    4,896.26/6,760.35 = 3,010.38/x
  3. Step 3: Cross multiply
    4,896.26x = 6,760.35 × 3,010.38
  4. Step 4: Simplify right side
    4,896.26x = 20,351,222.43
  5. Step 5: Solve for x
    x = 20,351,222.43/4,896.26
  6. Step 6: Final answer
    x = 4,156.48

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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.