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Finding the Fourth Proportional to 3,793.37, 5,234.73 and 2,114.67

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Solution

The fourth proportional to 3,793.37, 5,234.73 and 2,114.67 is: 2,918.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.37 : 5,234.73 = 2,114.67 : x
  2. Step 2: Convert to fraction form
    3,793.37/5,234.73 = 2,114.67/x
  3. Step 3: Cross multiply
    3,793.37x = 5,234.73 × 2,114.67
  4. Step 4: Simplify right side
    3,793.37x = 11,069,738.19
  5. Step 5: Solve for x
    x = 11,069,738.19/3,793.37
  6. Step 6: Final answer
    x = 2,918.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.