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Finding the Fourth Proportional to 3,767.24, 5,200.26 and 3,667.88

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Solution

The fourth proportional to 3,767.24, 5,200.26 and 3,667.88 is: 5,063.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.24 : 5,200.26 = 3,667.88 : x
  2. Step 2: Convert to fraction form
    3,767.24/5,200.26 = 3,667.88/x
  3. Step 3: Cross multiply
    3,767.24x = 5,200.26 × 3,667.88
  4. Step 4: Simplify right side
    3,767.24x = 19,073,929.65
  5. Step 5: Solve for x
    x = 19,073,929.65/3,767.24
  6. Step 6: Final answer
    x = 5,063.10

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