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Finding the Fourth Proportional to 3,872.65, 5,344.37 and 2,104.37

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Solution

The fourth proportional to 3,872.65, 5,344.37 and 2,104.37 is: 2,904.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.65 : 5,344.37 = 2,104.37 : x
  2. Step 2: Convert to fraction form
    3,872.65/5,344.37 = 2,104.37/x
  3. Step 3: Cross multiply
    3,872.65x = 5,344.37 × 2,104.37
  4. Step 4: Simplify right side
    3,872.65x = 11,246,505.18
  5. Step 5: Solve for x
    x = 11,246,505.18/3,872.65
  6. Step 6: Final answer
    x = 2,904.09

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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.