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Finding the Fourth Proportional to 5,103.46, 7,640.32 and 3,793.01

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Solution

The fourth proportional to 5,103.46, 7,640.32 and 3,793.01 is: 5,678.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,103.46 : 7,640.32 = 3,793.01 : x
  2. Step 2: Convert to fraction form
    5,103.46/7,640.32 = 3,793.01/x
  3. Step 3: Cross multiply
    5,103.46x = 7,640.32 × 3,793.01
  4. Step 4: Simplify right side
    5,103.46x = 28,979,819.78
  5. Step 5: Solve for x
    x = 28,979,819.78/5,103.46
  6. Step 6: Final answer
    x = 5,678.47

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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.