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Finding the Fourth Proportional to 5,183.64, 7,775.64 and 2,065.14

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Solution

The fourth proportional to 5,183.64, 7,775.64 and 2,065.14 is: 3,097.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,183.64 : 7,775.64 = 2,065.14 : x
  2. Step 2: Convert to fraction form
    5,183.64/7,775.64 = 2,065.14/x
  3. Step 3: Cross multiply
    5,183.64x = 7,775.64 × 2,065.14
  4. Step 4: Simplify right side
    5,183.64x = 16,057,785.19
  5. Step 5: Solve for x
    x = 16,057,785.19/5,183.64
  6. Step 6: Final answer
    x = 3,097.78

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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.