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Finding the Fourth Proportional to 3,628.88, 5,443.68 and 1,163.08

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Solution

The fourth proportional to 3,628.88, 5,443.68 and 1,163.08 is: 1,744.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,628.88 : 5,443.68 = 1,163.08 : x
  2. Step 2: Convert to fraction form
    3,628.88/5,443.68 = 1,163.08/x
  3. Step 3: Cross multiply
    3,628.88x = 5,443.68 × 1,163.08
  4. Step 4: Simplify right side
    3,628.88x = 6,331,435.33
  5. Step 5: Solve for x
    x = 6,331,435.33/3,628.88
  6. Step 6: Final answer
    x = 1,744.74

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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.