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Finding the Fourth Proportional to 3,647.46, 5,462.42 and 2,082.73

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Solution

The fourth proportional to 3,647.46, 5,462.42 and 2,082.73 is: 3,119.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.46 : 5,462.42 = 2,082.73 : x
  2. Step 2: Convert to fraction form
    3,647.46/5,462.42 = 2,082.73/x
  3. Step 3: Cross multiply
    3,647.46x = 5,462.42 × 2,082.73
  4. Step 4: Simplify right side
    3,647.46x = 11,376,729.64
  5. Step 5: Solve for x
    x = 11,376,729.64/3,647.46
  6. Step 6: Final answer
    x = 3,119.08

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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.