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Finding the Fourth Proportional to 3,446.14, 5,144.21 and 3,189.16

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Solution

The fourth proportional to 3,446.14, 5,144.21 and 3,189.16 is: 4,760.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.14 : 5,144.21 = 3,189.16 : x
  2. Step 2: Convert to fraction form
    3,446.14/5,144.21 = 3,189.16/x
  3. Step 3: Cross multiply
    3,446.14x = 5,144.21 × 3,189.16
  4. Step 4: Simplify right side
    3,446.14x = 16,405,708.76
  5. Step 5: Solve for x
    x = 16,405,708.76/3,446.14
  6. Step 6: Final answer
    x = 4,760.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.