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Finding the Fourth Proportional to 3,612.69, 5,414.49 and 1,942.67

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Solution

The fourth proportional to 3,612.69, 5,414.49 and 1,942.67 is: 2,911.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,612.69 : 5,414.49 = 1,942.67 : x
  2. Step 2: Convert to fraction form
    3,612.69/5,414.49 = 1,942.67/x
  3. Step 3: Cross multiply
    3,612.69x = 5,414.49 × 1,942.67
  4. Step 4: Simplify right side
    3,612.69x = 10,518,580.82
  5. Step 5: Solve for x
    x = 10,518,580.82/3,612.69
  6. Step 6: Final answer
    x = 2,911.56

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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.