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Finding the Fourth Proportional to 3,674.60, 5,072.24 and 2,183.80

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Solution

The fourth proportional to 3,674.60, 5,072.24 and 2,183.80 is: 3,014.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.60 : 5,072.24 = 2,183.80 : x
  2. Step 2: Convert to fraction form
    3,674.60/5,072.24 = 2,183.80/x
  3. Step 3: Cross multiply
    3,674.60x = 5,072.24 × 2,183.80
  4. Step 4: Simplify right side
    3,674.60x = 11,076,757.71
  5. Step 5: Solve for x
    x = 11,076,757.71/3,674.60
  6. Step 6: Final answer
    x = 3,014.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.