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Finding the Fourth Proportional to 3,016.44, 4,527.90 and 1,286.28

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Solution

The fourth proportional to 3,016.44, 4,527.90 and 1,286.28 is: 1,930.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,016.44 : 4,527.90 = 1,286.28 : x
  2. Step 2: Convert to fraction form
    3,016.44/4,527.90 = 1,286.28/x
  3. Step 3: Cross multiply
    3,016.44x = 4,527.90 × 1,286.28
  4. Step 4: Simplify right side
    3,016.44x = 5,824,147.21
  5. Step 5: Solve for x
    x = 5,824,147.21/3,016.44
  6. Step 6: Final answer
    x = 1,930.80

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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.