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Finding the Fourth Proportional to 5,227.85, 7,842.49 and 1,940.67

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Solution

The fourth proportional to 5,227.85, 7,842.49 and 1,940.67 is: 2,911.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227.85 : 7,842.49 = 1,940.67 : x
  2. Step 2: Convert to fraction form
    5,227.85/7,842.49 = 1,940.67/x
  3. Step 3: Cross multiply
    5,227.85x = 7,842.49 × 1,940.67
  4. Step 4: Simplify right side
    5,227.85x = 15,219,685.07
  5. Step 5: Solve for x
    x = 15,219,685.07/5,227.85
  6. Step 6: Final answer
    x = 2,911.27

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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.