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Finding the Fourth Proportional to 3,493.66, 5,238.87 and 2,033.23

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Solution

The fourth proportional to 3,493.66, 5,238.87 and 2,033.23 is: 3,048.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.66 : 5,238.87 = 2,033.23 : x
  2. Step 2: Convert to fraction form
    3,493.66/5,238.87 = 2,033.23/x
  3. Step 3: Cross multiply
    3,493.66x = 5,238.87 × 2,033.23
  4. Step 4: Simplify right side
    3,493.66x = 10,651,827.65
  5. Step 5: Solve for x
    x = 10,651,827.65/3,493.66
  6. Step 6: Final answer
    x = 3,048.90

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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.