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Finding the Fourth Proportional to 3,512.34, 5,267.79 and 1,431.81

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Solution

The fourth proportional to 3,512.34, 5,267.79 and 1,431.81 is: 2,147.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512.34 : 5,267.79 = 1,431.81 : x
  2. Step 2: Convert to fraction form
    3,512.34/5,267.79 = 1,431.81/x
  3. Step 3: Cross multiply
    3,512.34x = 5,267.79 × 1,431.81
  4. Step 4: Simplify right side
    3,512.34x = 7,542,474.40
  5. Step 5: Solve for x
    x = 7,542,474.40/3,512.34
  6. Step 6: Final answer
    x = 2,147.42

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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.