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Finding the Fourth Proportional to 5,380.48, 8,072.16 and 1,682.78

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Solution

The fourth proportional to 5,380.48, 8,072.16 and 1,682.78 is: 2,524.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,380.48 : 8,072.16 = 1,682.78 : x
  2. Step 2: Convert to fraction form
    5,380.48/8,072.16 = 1,682.78/x
  3. Step 3: Cross multiply
    5,380.48x = 8,072.16 × 1,682.78
  4. Step 4: Simplify right side
    5,380.48x = 13,583,622.73
  5. Step 5: Solve for x
    x = 13,583,622.73/5,380.48
  6. Step 6: Final answer
    x = 2,524.61

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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.