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Finding the Fourth Proportional to 5,183.04, 7,777.80 and 2,105.04

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Solution

The fourth proportional to 5,183.04, 7,777.80 and 2,105.04 is: 3,158.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,183.04 : 7,777.80 = 2,105.04 : x
  2. Step 2: Convert to fraction form
    5,183.04/7,777.80 = 2,105.04/x
  3. Step 3: Cross multiply
    5,183.04x = 7,777.80 × 2,105.04
  4. Step 4: Simplify right side
    5,183.04x = 16,372,580.11
  5. Step 5: Solve for x
    x = 16,372,580.11/5,183.04
  6. Step 6: Final answer
    x = 3,158.88

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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.