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Finding the Fourth Proportional to 3,796.98, 5,245.47 and 3,767.82

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Solution

The fourth proportional to 3,796.98, 5,245.47 and 3,767.82 is: 5,205.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.98 : 5,245.47 = 3,767.82 : x
  2. Step 2: Convert to fraction form
    3,796.98/5,245.47 = 3,767.82/x
  3. Step 3: Cross multiply
    3,796.98x = 5,245.47 × 3,767.82
  4. Step 4: Simplify right side
    3,796.98x = 19,763,986.78
  5. Step 5: Solve for x
    x = 19,763,986.78/3,796.98
  6. Step 6: Final answer
    x = 5,205.19

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