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Finding the Fourth Proportional to 3,872.88, 5,343.37 and 2,194.16

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Solution

The fourth proportional to 3,872.88, 5,343.37 and 2,194.16 is: 3,027.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.88 : 5,343.37 = 2,194.16 : x
  2. Step 2: Convert to fraction form
    3,872.88/5,343.37 = 2,194.16/x
  3. Step 3: Cross multiply
    3,872.88x = 5,343.37 × 2,194.16
  4. Step 4: Simplify right side
    3,872.88x = 11,724,176.52
  5. Step 5: Solve for x
    x = 11,724,176.52/3,872.88
  6. Step 6: Final answer
    x = 3,027.25

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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.