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Finding the Fourth Proportional to 3,352.92, 5,027.42 and 1,012.23

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Solution

The fourth proportional to 3,352.92, 5,027.42 and 1,012.23 is: 1,517.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,352.92 : 5,027.42 = 1,012.23 : x
  2. Step 2: Convert to fraction form
    3,352.92/5,027.42 = 1,012.23/x
  3. Step 3: Cross multiply
    3,352.92x = 5,027.42 × 1,012.23
  4. Step 4: Simplify right side
    3,352.92x = 5,088,880.21
  5. Step 5: Solve for x
    x = 5,088,880.21/3,352.92
  6. Step 6: Final answer
    x = 1,517.75

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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.