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Finding the Fourth Proportional to 3,785.36, 5,679 and 2,226.65

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Solution

The fourth proportional to 3,785.36, 5,679 and 2,226.65 is: 3,340.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.36 : 5,679 = 2,226.65 : x
  2. Step 2: Convert to fraction form
    3,785.36/5,679 = 2,226.65/x
  3. Step 3: Cross multiply
    3,785.36x = 5,679 × 2,226.65
  4. Step 4: Simplify right side
    3,785.36x = 12,645,116.96
  5. Step 5: Solve for x
    x = 12,645,116.96/3,785.36
  6. Step 6: Final answer
    x = 3,340.54

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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.