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Finding the Fourth Proportional to 3,872.60, 5,344.23 and 2,104.22

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Solution

The fourth proportional to 3,872.60, 5,344.23 and 2,104.22 is: 2,903.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.60 : 5,344.23 = 2,104.22 : x
  2. Step 2: Convert to fraction form
    3,872.60/5,344.23 = 2,104.22/x
  3. Step 3: Cross multiply
    3,872.60x = 5,344.23 × 2,104.22
  4. Step 4: Simplify right side
    3,872.60x = 11,245,408.93
  5. Step 5: Solve for x
    x = 11,245,408.93/3,872.60
  6. Step 6: Final answer
    x = 2,903.84

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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.