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Finding the Fourth Proportional to 3,872.90, 5,354.97 and 3,380.84

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Solution

The fourth proportional to 3,872.90, 5,354.97 and 3,380.84 is: 4,674.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.90 : 5,354.97 = 3,380.84 : x
  2. Step 2: Convert to fraction form
    3,872.90/5,354.97 = 3,380.84/x
  3. Step 3: Cross multiply
    3,872.90x = 5,354.97 × 3,380.84
  4. Step 4: Simplify right side
    3,872.90x = 18,104,296.77
  5. Step 5: Solve for x
    x = 18,104,296.77/3,872.90
  6. Step 6: Final answer
    x = 4,674.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.