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Finding the Fourth Proportional to 4,136.64, 6,205.96 and 2,057.62

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Solution

The fourth proportional to 4,136.64, 6,205.96 and 2,057.62 is: 3,086.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,136.64 : 6,205.96 = 2,057.62 : x
  2. Step 2: Convert to fraction form
    4,136.64/6,205.96 = 2,057.62/x
  3. Step 3: Cross multiply
    4,136.64x = 6,205.96 × 2,057.62
  4. Step 4: Simplify right side
    4,136.64x = 12,769,507.42
  5. Step 5: Solve for x
    x = 12,769,507.42/4,136.64
  6. Step 6: Final answer
    x = 3,086.93

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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.