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Finding the Fourth Proportional to 4,107.58, 6,163.81 and 1,512.34

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Solution

The fourth proportional to 4,107.58, 6,163.81 and 1,512.34 is: 2,269.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,107.58 : 6,163.81 = 1,512.34 : x
  2. Step 2: Convert to fraction form
    4,107.58/6,163.81 = 1,512.34/x
  3. Step 3: Cross multiply
    4,107.58x = 6,163.81 × 1,512.34
  4. Step 4: Simplify right side
    4,107.58x = 9,321,776.42
  5. Step 5: Solve for x
    x = 9,321,776.42/4,107.58
  6. Step 6: Final answer
    x = 2,269.41

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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.