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Finding the Fourth Proportional to 3,786.75, 5,226.12 and 2,216.16

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Solution

The fourth proportional to 3,786.75, 5,226.12 and 2,216.16 is: 3,058.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786.75 : 5,226.12 = 2,216.16 : x
  2. Step 2: Convert to fraction form
    3,786.75/5,226.12 = 2,216.16/x
  3. Step 3: Cross multiply
    3,786.75x = 5,226.12 × 2,216.16
  4. Step 4: Simplify right side
    3,786.75x = 11,581,918.10
  5. Step 5: Solve for x
    x = 11,581,918.10/3,786.75
  6. Step 6: Final answer
    x = 3,058.54

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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.