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Finding the Fourth Proportional to 3,457.60, 5,183.76 and 1,727.44

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Solution

The fourth proportional to 3,457.60, 5,183.76 and 1,727.44 is: 2,589.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.60 : 5,183.76 = 1,727.44 : x
  2. Step 2: Convert to fraction form
    3,457.60/5,183.76 = 1,727.44/x
  3. Step 3: Cross multiply
    3,457.60x = 5,183.76 × 1,727.44
  4. Step 4: Simplify right side
    3,457.60x = 8,954,634.37
  5. Step 5: Solve for x
    x = 8,954,634.37/3,457.60
  6. Step 6: Final answer
    x = 2,589.84

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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.