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Finding the Fourth Proportional to 3,855.38, 5,783.22 and 2,211.17

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Solution

The fourth proportional to 3,855.38, 5,783.22 and 2,211.17 is: 3,316.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.38 : 5,783.22 = 2,211.17 : x
  2. Step 2: Convert to fraction form
    3,855.38/5,783.22 = 2,211.17/x
  3. Step 3: Cross multiply
    3,855.38x = 5,783.22 × 2,211.17
  4. Step 4: Simplify right side
    3,855.38x = 12,787,653.65
  5. Step 5: Solve for x
    x = 12,787,653.65/3,855.38
  6. Step 6: Final answer
    x = 3,316.84

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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.