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Finding the Fourth Proportional to 3,755.64, 5,181.74 and 2,183.16

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Solution

The fourth proportional to 3,755.64, 5,181.74 and 2,183.16 is: 3,012.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.64 : 5,181.74 = 2,183.16 : x
  2. Step 2: Convert to fraction form
    3,755.64/5,181.74 = 2,183.16/x
  3. Step 3: Cross multiply
    3,755.64x = 5,181.74 × 2,183.16
  4. Step 4: Simplify right side
    3,755.64x = 11,312,567.50
  5. Step 5: Solve for x
    x = 11,312,567.50/3,755.64
  6. Step 6: Final answer
    x = 3,012.15

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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.