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Finding the Fourth Proportional to 4,791.98, 7,232.97 and 4,791.98

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Solution

The fourth proportional to 4,791.98, 7,232.97 and 4,791.98 is: 7,232.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,791.98 : 7,232.97 = 4,791.98 : x
  2. Step 2: Convert to fraction form
    4,791.98/7,232.97 = 4,791.98/x
  3. Step 3: Cross multiply
    4,791.98x = 7,232.97 × 4,791.98
  4. Step 4: Simplify right side
    4,791.98x = 34,660,211.42
  5. Step 5: Solve for x
    x = 34,660,211.42/4,791.98
  6. Step 6: Final answer
    x = 7,232.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.