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Finding the Fourth Proportional to 3,943.95, 5,905.67 and 3,827.09

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Solution

The fourth proportional to 3,943.95, 5,905.67 and 3,827.09 is: 5,730.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,943.95 : 5,905.67 = 3,827.09 : x
  2. Step 2: Convert to fraction form
    3,943.95/5,905.67 = 3,827.09/x
  3. Step 3: Cross multiply
    3,943.95x = 5,905.67 × 3,827.09
  4. Step 4: Simplify right side
    3,943.95x = 22,601,481.94
  5. Step 5: Solve for x
    x = 22,601,481.94/3,943.95
  6. Step 6: Final answer
    x = 5,730.67

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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.