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Finding the Fourth Proportional to 3,632.95, 5,449.85 and 1,441.87

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Solution

The fourth proportional to 3,632.95, 5,449.85 and 1,441.87 is: 2,162.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,632.95 : 5,449.85 = 1,441.87 : x
  2. Step 2: Convert to fraction form
    3,632.95/5,449.85 = 1,441.87/x
  3. Step 3: Cross multiply
    3,632.95x = 5,449.85 × 1,441.87
  4. Step 4: Simplify right side
    3,632.95x = 7,857,975.22
  5. Step 5: Solve for x
    x = 7,857,975.22/3,632.95
  6. Step 6: Final answer
    x = 2,162.97

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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.