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Finding the Fourth Proportional to 3,928.15, 5,892.12 and 966.62

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Solution

The fourth proportional to 3,928.15, 5,892.12 and 966.62 is: 1,449.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,928.15 : 5,892.12 = 966.62 : x
  2. Step 2: Convert to fraction form
    3,928.15/5,892.12 = 966.62/x
  3. Step 3: Cross multiply
    3,928.15x = 5,892.12 × 966.62
  4. Step 4: Simplify right side
    3,928.15x = 5,695,441.03
  5. Step 5: Solve for x
    x = 5,695,441.03/3,928.15
  6. Step 6: Final answer
    x = 1,449.90

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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.