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Finding the Fourth Proportional to 3,096.09, 4,640.09 and 2,683.53

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Solution

The fourth proportional to 3,096.09, 4,640.09 and 2,683.53 is: 4,021.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.09 : 4,640.09 = 2,683.53 : x
  2. Step 2: Convert to fraction form
    3,096.09/4,640.09 = 2,683.53/x
  3. Step 3: Cross multiply
    3,096.09x = 4,640.09 × 2,683.53
  4. Step 4: Simplify right side
    3,096.09x = 12,451,807.30
  5. Step 5: Solve for x
    x = 12,451,807.30/3,096.09
  6. Step 6: Final answer
    x = 4,021.78

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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.