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Finding the Fourth Proportional to 3,440.46, 5,163.10 and 2,052.92

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Solution

The fourth proportional to 3,440.46, 5,163.10 and 2,052.92 is: 3,080.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,440.46 : 5,163.10 = 2,052.92 : x
  2. Step 2: Convert to fraction form
    3,440.46/5,163.10 = 2,052.92/x
  3. Step 3: Cross multiply
    3,440.46x = 5,163.10 × 2,052.92
  4. Step 4: Simplify right side
    3,440.46x = 10,599,431.25
  5. Step 5: Solve for x
    x = 10,599,431.25/3,440.46
  6. Step 6: Final answer
    x = 3,080.82

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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.