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Finding the Fourth Proportional to 3,945.42, 5,917.47 and 1,446.09

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Solution

The fourth proportional to 3,945.42, 5,917.47 and 1,446.09 is: 2,168.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,945.42 : 5,917.47 = 1,446.09 : x
  2. Step 2: Convert to fraction form
    3,945.42/5,917.47 = 1,446.09/x
  3. Step 3: Cross multiply
    3,945.42x = 5,917.47 × 1,446.09
  4. Step 4: Simplify right side
    3,945.42x = 8,557,194.19
  5. Step 5: Solve for x
    x = 8,557,194.19/3,945.42
  6. Step 6: Final answer
    x = 2,168.89

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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.