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Finding the Fourth Proportional to 3,679.29, 5,506.56 and 3,375.81

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Solution

The fourth proportional to 3,679.29, 5,506.56 and 3,375.81 is: 5,052.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.29 : 5,506.56 = 3,375.81 : x
  2. Step 2: Convert to fraction form
    3,679.29/5,506.56 = 3,375.81/x
  3. Step 3: Cross multiply
    3,679.29x = 5,506.56 × 3,375.81
  4. Step 4: Simplify right side
    3,679.29x = 18,589,100.31
  5. Step 5: Solve for x
    x = 18,589,100.31/3,679.29
  6. Step 6: Final answer
    x = 5,052.36

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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.