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Finding the Fourth Proportional to 3,632.27, 5,449.01 and 1,441.01

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Solution

The fourth proportional to 3,632.27, 5,449.01 and 1,441.01 is: 2,161.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,632.27 : 5,449.01 = 1,441.01 : x
  2. Step 2: Convert to fraction form
    3,632.27/5,449.01 = 1,441.01/x
  3. Step 3: Cross multiply
    3,632.27x = 5,449.01 × 1,441.01
  4. Step 4: Simplify right side
    3,632.27x = 7,852,084.32
  5. Step 5: Solve for x
    x = 7,852,084.32/3,632.27
  6. Step 6: Final answer
    x = 2,161.76

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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.