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Finding the Fourth Proportional to 5,183.06, 7,769.90 and 1,893.84

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Solution

The fourth proportional to 5,183.06, 7,769.90 and 1,893.84 is: 2,839.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,183.06 : 7,769.90 = 1,893.84 : x
  2. Step 2: Convert to fraction form
    5,183.06/7,769.90 = 1,893.84/x
  3. Step 3: Cross multiply
    5,183.06x = 7,769.90 × 1,893.84
  4. Step 4: Simplify right side
    5,183.06x = 14,714,947.42
  5. Step 5: Solve for x
    x = 14,714,947.42/5,183.06
  6. Step 6: Final answer
    x = 2,839.05

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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.