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Finding the Fourth Proportional to 4,096.70, 6,149.01 and 3,874.70

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Solution

The fourth proportional to 4,096.70, 6,149.01 and 3,874.70 is: 5,815.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096.70 : 6,149.01 = 3,874.70 : x
  2. Step 2: Convert to fraction form
    4,096.70/6,149.01 = 3,874.70/x
  3. Step 3: Cross multiply
    4,096.70x = 6,149.01 × 3,874.70
  4. Step 4: Simplify right side
    4,096.70x = 23,825,569.05
  5. Step 5: Solve for x
    x = 23,825,569.05/4,096.70
  6. Step 6: Final answer
    x = 5,815.80

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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.