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Finding the Fourth Proportional to 3,793.53, 5,234.83 and 2,114.71

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Solution

The fourth proportional to 3,793.53, 5,234.83 and 2,114.71 is: 2,918.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.53 : 5,234.83 = 2,114.71 : x
  2. Step 2: Convert to fraction form
    3,793.53/5,234.83 = 2,114.71/x
  3. Step 3: Cross multiply
    3,793.53x = 5,234.83 × 2,114.71
  4. Step 4: Simplify right side
    3,793.53x = 11,070,128.98
  5. Step 5: Solve for x
    x = 11,070,128.98/3,793.53
  6. Step 6: Final answer
    x = 2,918.16

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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.