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Finding the Fourth Proportional to 3,856.35, 5,784.52 and 2,213.94

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Solution

The fourth proportional to 3,856.35, 5,784.52 and 2,213.94 is: 3,320.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.35 : 5,784.52 = 2,213.94 : x
  2. Step 2: Convert to fraction form
    3,856.35/5,784.52 = 2,213.94/x
  3. Step 3: Cross multiply
    3,856.35x = 5,784.52 × 2,213.94
  4. Step 4: Simplify right side
    3,856.35x = 12,806,580.21
  5. Step 5: Solve for x
    x = 12,806,580.21/3,856.35
  6. Step 6: Final answer
    x = 3,320.91

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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.