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Finding the Fourth Proportional to 3,872.92, 5,344.66 and 2,104.56

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Solution

The fourth proportional to 3,872.92, 5,344.66 and 2,104.56 is: 2,904.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.92 : 5,344.66 = 2,104.56 : x
  2. Step 2: Convert to fraction form
    3,872.92/5,344.66 = 2,104.56/x
  3. Step 3: Cross multiply
    3,872.92x = 5,344.66 × 2,104.56
  4. Step 4: Simplify right side
    3,872.92x = 11,248,157.65
  5. Step 5: Solve for x
    x = 11,248,157.65/3,872.92
  6. Step 6: Final answer
    x = 2,904.31

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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.