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Finding the Fourth Proportional to 5,796.11, 7,996.75 and 3,277.98

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Solution

The fourth proportional to 5,796.11, 7,996.75 and 3,277.98 is: 4,522.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796.11 : 7,996.75 = 3,277.98 : x
  2. Step 2: Convert to fraction form
    5,796.11/7,996.75 = 3,277.98/x
  3. Step 3: Cross multiply
    5,796.11x = 7,996.75 × 3,277.98
  4. Step 4: Simplify right side
    5,796.11x = 26,213,178.37
  5. Step 5: Solve for x
    x = 26,213,178.37/5,796.11
  6. Step 6: Final answer
    x = 4,522.54

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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.