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Finding the Fourth Proportional to 3,872.63, 5,344.05 and 2,380.01

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Solution

The fourth proportional to 3,872.63, 5,344.05 and 2,380.01 is: 3,284.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.63 : 5,344.05 = 2,380.01 : x
  2. Step 2: Convert to fraction form
    3,872.63/5,344.05 = 2,380.01/x
  3. Step 3: Cross multiply
    3,872.63x = 5,344.05 × 2,380.01
  4. Step 4: Simplify right side
    3,872.63x = 12,718,892.44
  5. Step 5: Solve for x
    x = 12,718,892.44/3,872.63
  6. Step 6: Final answer
    x = 3,284.30

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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.