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Finding the Fourth Proportional to 3,512.80, 5,270.92 and 1,434.32

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Solution

The fourth proportional to 3,512.80, 5,270.92 and 1,434.32 is: 2,152.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512.80 : 5,270.92 = 1,434.32 : x
  2. Step 2: Convert to fraction form
    3,512.80/5,270.92 = 1,434.32/x
  3. Step 3: Cross multiply
    3,512.80x = 5,270.92 × 1,434.32
  4. Step 4: Simplify right side
    3,512.80x = 7,560,185.97
  5. Step 5: Solve for x
    x = 7,560,185.97/3,512.80
  6. Step 6: Final answer
    x = 2,152.18

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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.