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Finding the Fourth Proportional to 3,755.96, 5,183.97 and 2,184.36

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Solution

The fourth proportional to 3,755.96, 5,183.97 and 2,184.36 is: 3,014.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.96 : 5,183.97 = 2,184.36 : x
  2. Step 2: Convert to fraction form
    3,755.96/5,183.97 = 2,184.36/x
  3. Step 3: Cross multiply
    3,755.96x = 5,183.97 × 2,184.36
  4. Step 4: Simplify right side
    3,755.96x = 11,323,619.87
  5. Step 5: Solve for x
    x = 11,323,619.87/3,755.96
  6. Step 6: Final answer
    x = 3,014.84

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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.