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Finding the Fourth Proportional to 4,136.64, 6,206.96 and 2,056.48

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Solution

The fourth proportional to 4,136.64, 6,206.96 and 2,056.48 is: 3,085.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,136.64 : 6,206.96 = 2,056.48 : x
  2. Step 2: Convert to fraction form
    4,136.64/6,206.96 = 2,056.48/x
  3. Step 3: Cross multiply
    4,136.64x = 6,206.96 × 2,056.48
  4. Step 4: Simplify right side
    4,136.64x = 12,764,489.10
  5. Step 5: Solve for x
    x = 12,764,489.10/4,136.64
  6. Step 6: Final answer
    x = 3,085.71

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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.