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Finding the Fourth Proportional to 3,974.83, 5,945.67 and 3,679.58

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Solution

The fourth proportional to 3,974.83, 5,945.67 and 3,679.58 is: 5,504.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.83 : 5,945.67 = 3,679.58 : x
  2. Step 2: Convert to fraction form
    3,974.83/5,945.67 = 3,679.58/x
  3. Step 3: Cross multiply
    3,974.83x = 5,945.67 × 3,679.58
  4. Step 4: Simplify right side
    3,974.83x = 21,877,583.28
  5. Step 5: Solve for x
    x = 21,877,583.28/3,974.83
  6. Step 6: Final answer
    x = 5,504.03

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