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Finding the Fourth Proportional to 3,921.60, 5,882.22 and 1,972.32

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Solution

The fourth proportional to 3,921.60, 5,882.22 and 1,972.32 is: 2,958.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,921.60 : 5,882.22 = 1,972.32 : x
  2. Step 2: Convert to fraction form
    3,921.60/5,882.22 = 1,972.32/x
  3. Step 3: Cross multiply
    3,921.60x = 5,882.22 × 1,972.32
  4. Step 4: Simplify right side
    3,921.60x = 11,601,620.15
  5. Step 5: Solve for x
    x = 11,601,620.15/3,921.60
  6. Step 6: Final answer
    x = 2,958.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.