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Finding the Fourth Proportional to 3,793.73, 5,688.46 and 2,914.04

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Solution

The fourth proportional to 3,793.73, 5,688.46 and 2,914.04 is: 4,369.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.73 : 5,688.46 = 2,914.04 : x
  2. Step 2: Convert to fraction form
    3,793.73/5,688.46 = 2,914.04/x
  3. Step 3: Cross multiply
    3,793.73x = 5,688.46 × 2,914.04
  4. Step 4: Simplify right side
    3,793.73x = 16,576,364.25
  5. Step 5: Solve for x
    x = 16,576,364.25/3,793.73
  6. Step 6: Final answer
    x = 4,369.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.