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Finding the Fourth Proportional to 3,872.91, 5,344.60 and 2,104.50

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Solution

The fourth proportional to 3,872.91, 5,344.60 and 2,104.50 is: 2,904.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.91 : 5,344.60 = 2,104.50 : x
  2. Step 2: Convert to fraction form
    3,872.91/5,344.60 = 2,104.50/x
  3. Step 3: Cross multiply
    3,872.91x = 5,344.60 × 2,104.50
  4. Step 4: Simplify right side
    3,872.91x = 11,247,710.70
  5. Step 5: Solve for x
    x = 11,247,710.70/3,872.91
  6. Step 6: Final answer
    x = 2,904.20

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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.