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Finding the Fourth Proportional to 3,896.06, 5,838.15 and 2,856.74

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Solution

The fourth proportional to 3,896.06, 5,838.15 and 2,856.74 is: 4,280.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.06 : 5,838.15 = 2,856.74 : x
  2. Step 2: Convert to fraction form
    3,896.06/5,838.15 = 2,856.74/x
  3. Step 3: Cross multiply
    3,896.06x = 5,838.15 × 2,856.74
  4. Step 4: Simplify right side
    3,896.06x = 16,678,091.23
  5. Step 5: Solve for x
    x = 16,678,091.23/3,896.06
  6. Step 6: Final answer
    x = 4,280.76

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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.