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Finding the Fourth Proportional to 3,457.73, 5,183.75 and 1,376.84

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Solution

The fourth proportional to 3,457.73, 5,183.75 and 1,376.84 is: 2,064.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.73 : 5,183.75 = 1,376.84 : x
  2. Step 2: Convert to fraction form
    3,457.73/5,183.75 = 1,376.84/x
  3. Step 3: Cross multiply
    3,457.73x = 5,183.75 × 1,376.84
  4. Step 4: Simplify right side
    3,457.73x = 7,137,161.55
  5. Step 5: Solve for x
    x = 7,137,161.55/3,457.73
  6. Step 6: Final answer
    x = 2,064.12

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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.