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Finding the Fourth Proportional to 3,457.96, 5,183.29 and 1,722.94

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Solution

The fourth proportional to 3,457.96, 5,183.29 and 1,722.94 is: 2,582.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.96 : 5,183.29 = 1,722.94 : x
  2. Step 2: Convert to fraction form
    3,457.96/5,183.29 = 1,722.94/x
  3. Step 3: Cross multiply
    3,457.96x = 5,183.29 × 1,722.94
  4. Step 4: Simplify right side
    3,457.96x = 8,930,486.87
  5. Step 5: Solve for x
    x = 8,930,486.87/3,457.96
  6. Step 6: Final answer
    x = 2,582.59

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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.