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Finding the Fourth Proportional to 4,096.83, 6,136.24 and 3,385.99

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Solution

The fourth proportional to 4,096.83, 6,136.24 and 3,385.99 is: 5,071.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096.83 : 6,136.24 = 3,385.99 : x
  2. Step 2: Convert to fraction form
    4,096.83/6,136.24 = 3,385.99/x
  3. Step 3: Cross multiply
    4,096.83x = 6,136.24 × 3,385.99
  4. Step 4: Simplify right side
    4,096.83x = 20,777,258.49
  5. Step 5: Solve for x
    x = 20,777,258.49/4,096.83
  6. Step 6: Final answer
    x = 5,071.55

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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.