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Finding the Fourth Proportional to 4,107.54, 6,163.74 and 2,133.30

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Solution

The fourth proportional to 4,107.54, 6,163.74 and 2,133.30 is: 3,201.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,107.54 : 6,163.74 = 2,133.30 : x
  2. Step 2: Convert to fraction form
    4,107.54/6,163.74 = 2,133.30/x
  3. Step 3: Cross multiply
    4,107.54x = 6,163.74 × 2,133.30
  4. Step 4: Simplify right side
    4,107.54x = 13,149,106.54
  5. Step 5: Solve for x
    x = 13,149,106.54/4,107.54
  6. Step 6: Final answer
    x = 3,201.21

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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.