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Finding the Fourth Proportional to 3,679.44, 5,519.16 and 1,082.38

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Solution

The fourth proportional to 3,679.44, 5,519.16 and 1,082.38 is: 1,623.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.44 : 5,519.16 = 1,082.38 : x
  2. Step 2: Convert to fraction form
    3,679.44/5,519.16 = 1,082.38/x
  3. Step 3: Cross multiply
    3,679.44x = 5,519.16 × 1,082.38
  4. Step 4: Simplify right side
    3,679.44x = 5,973,828.40
  5. Step 5: Solve for x
    x = 5,973,828.40/3,679.44
  6. Step 6: Final answer
    x = 1,623.57

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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.