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Finding the Fourth Proportional to 3,668.65, 5,063.09 and 2,096.44

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Solution

The fourth proportional to 3,668.65, 5,063.09 and 2,096.44 is: 2,893.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.65 : 5,063.09 = 2,096.44 : x
  2. Step 2: Convert to fraction form
    3,668.65/5,063.09 = 2,096.44/x
  3. Step 3: Cross multiply
    3,668.65x = 5,063.09 × 2,096.44
  4. Step 4: Simplify right side
    3,668.65x = 10,614,464.40
  5. Step 5: Solve for x
    x = 10,614,464.40/3,668.65
  6. Step 6: Final answer
    x = 2,893.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.