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Finding the Fourth Proportional to 3,775.20, 5,208.24 and 2,724.96

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Solution

The fourth proportional to 3,775.20, 5,208.24 and 2,724.96 is: 3,759.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.20 : 5,208.24 = 2,724.96 : x
  2. Step 2: Convert to fraction form
    3,775.20/5,208.24 = 2,724.96/x
  3. Step 3: Cross multiply
    3,775.20x = 5,208.24 × 2,724.96
  4. Step 4: Simplify right side
    3,775.20x = 14,192,245.67
  5. Step 5: Solve for x
    x = 14,192,245.67/3,775.20
  6. Step 6: Final answer
    x = 3,759.34

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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.