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Finding the Fourth Proportional to 3,856.38, 5,784.72 and 2,212.17

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Solution

The fourth proportional to 3,856.38, 5,784.72 and 2,212.17 is: 3,318.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.38 : 5,784.72 = 2,212.17 : x
  2. Step 2: Convert to fraction form
    3,856.38/5,784.72 = 2,212.17/x
  3. Step 3: Cross multiply
    3,856.38x = 5,784.72 × 2,212.17
  4. Step 4: Simplify right side
    3,856.38x = 12,796,784.04
  5. Step 5: Solve for x
    x = 12,796,784.04/3,856.38
  6. Step 6: Final answer
    x = 3,318.34

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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.