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Finding the Fourth Proportional to 5,205.64, 7,183.77 and 2,847.76

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Solution

The fourth proportional to 5,205.64, 7,183.77 and 2,847.76 is: 3,929.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.64 : 7,183.77 = 2,847.76 : x
  2. Step 2: Convert to fraction form
    5,205.64/7,183.77 = 2,847.76/x
  3. Step 3: Cross multiply
    5,205.64x = 7,183.77 × 2,847.76
  4. Step 4: Simplify right side
    5,205.64x = 20,457,652.86
  5. Step 5: Solve for x
    x = 20,457,652.86/5,205.64
  6. Step 6: Final answer
    x = 3,929.90

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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.