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Finding the Fourth Proportional to 3,446.76, 5,160.96 and 2,353.26

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Solution

The fourth proportional to 3,446.76, 5,160.96 and 2,353.26 is: 3,523.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.76 : 5,160.96 = 2,353.26 : x
  2. Step 2: Convert to fraction form
    3,446.76/5,160.96 = 2,353.26/x
  3. Step 3: Cross multiply
    3,446.76x = 5,160.96 × 2,353.26
  4. Step 4: Simplify right side
    3,446.76x = 12,145,080.73
  5. Step 5: Solve for x
    x = 12,145,080.73/3,446.76
  6. Step 6: Final answer
    x = 3,523.62

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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.