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Finding the Fourth Proportional to 5,205.70, 7,183.51 and 2,847.78

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Solution

The fourth proportional to 5,205.70, 7,183.51 and 2,847.78 is: 3,929.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.70 : 7,183.51 = 2,847.78 : x
  2. Step 2: Convert to fraction form
    5,205.70/7,183.51 = 2,847.78/x
  3. Step 3: Cross multiply
    5,205.70x = 7,183.51 × 2,847.78
  4. Step 4: Simplify right side
    5,205.70x = 20,457,056.11
  5. Step 5: Solve for x
    x = 20,457,056.11/5,205.70
  6. Step 6: Final answer
    x = 3,929.74

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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.