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Finding the Fourth Proportional to 4,796.78, 7,205.66 and 3,418.97

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Solution

The fourth proportional to 4,796.78, 7,205.66 and 3,418.97 is: 5,135.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,796.78 : 7,205.66 = 3,418.97 : x
  2. Step 2: Convert to fraction form
    4,796.78/7,205.66 = 3,418.97/x
  3. Step 3: Cross multiply
    4,796.78x = 7,205.66 × 3,418.97
  4. Step 4: Simplify right side
    4,796.78x = 24,635,935.37
  5. Step 5: Solve for x
    x = 24,635,935.37/4,796.78
  6. Step 6: Final answer
    x = 5,135.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.