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Finding the Fourth Proportional to 3,942.30, 5,906.45 and 3,513.27

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Solution

The fourth proportional to 3,942.30, 5,906.45 and 3,513.27 is: 5,263.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942.30 : 5,906.45 = 3,513.27 : x
  2. Step 2: Convert to fraction form
    3,942.30/5,906.45 = 3,513.27/x
  3. Step 3: Cross multiply
    3,942.30x = 5,906.45 × 3,513.27
  4. Step 4: Simplify right side
    3,942.30x = 20,750,984.52
  5. Step 5: Solve for x
    x = 20,750,984.52/3,942.30
  6. Step 6: Final answer
    x = 5,263.67

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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.