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Finding the Fourth Proportional to 3,628.62, 5,441.37 and 1,162.62

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Solution

The fourth proportional to 3,628.62, 5,441.37 and 1,162.62 is: 1,743.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,628.62 : 5,441.37 = 1,162.62 : x
  2. Step 2: Convert to fraction form
    3,628.62/5,441.37 = 1,162.62/x
  3. Step 3: Cross multiply
    3,628.62x = 5,441.37 × 1,162.62
  4. Step 4: Simplify right side
    3,628.62x = 6,326,245.59
  5. Step 5: Solve for x
    x = 6,326,245.59/3,628.62
  6. Step 6: Final answer
    x = 1,743.43

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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.