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Finding the Fourth Proportional to 3,532.84, 5,299.22 and 2,081.22

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Solution

The fourth proportional to 3,532.84, 5,299.22 and 2,081.22 is: 3,121.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,532.84 : 5,299.22 = 2,081.22 : x
  2. Step 2: Convert to fraction form
    3,532.84/5,299.22 = 2,081.22/x
  3. Step 3: Cross multiply
    3,532.84x = 5,299.22 × 2,081.22
  4. Step 4: Simplify right side
    3,532.84x = 11,028,842.65
  5. Step 5: Solve for x
    x = 11,028,842.65/3,532.84
  6. Step 6: Final answer
    x = 3,121.81

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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.