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Finding the Fourth Proportional to 3,446.42, 5,169.96 and 1,106.46

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Solution

The fourth proportional to 3,446.42, 5,169.96 and 1,106.46 is: 1,659.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.42 : 5,169.96 = 1,106.46 : x
  2. Step 2: Convert to fraction form
    3,446.42/5,169.96 = 1,106.46/x
  3. Step 3: Cross multiply
    3,446.42x = 5,169.96 × 1,106.46
  4. Step 4: Simplify right side
    3,446.42x = 5,720,353.94
  5. Step 5: Solve for x
    x = 5,720,353.94/3,446.42
  6. Step 6: Final answer
    x = 1,659.80

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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.