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Finding the Fourth Proportional to 4,136.64, 6,205.44 and 2,057.28

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Solution

The fourth proportional to 4,136.64, 6,205.44 and 2,057.28 is: 3,086.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,136.64 : 6,205.44 = 2,057.28 : x
  2. Step 2: Convert to fraction form
    4,136.64/6,205.44 = 2,057.28/x
  3. Step 3: Cross multiply
    4,136.64x = 6,205.44 × 2,057.28
  4. Step 4: Simplify right side
    4,136.64x = 12,766,327.60
  5. Step 5: Solve for x
    x = 12,766,327.60/4,136.64
  6. Step 6: Final answer
    x = 3,086.16

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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.