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Finding the Fourth Proportional to 5,183.68, 7,768.80 and 2,712.24

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Solution

The fourth proportional to 5,183.68, 7,768.80 and 2,712.24 is: 4,064.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,183.68 : 7,768.80 = 2,712.24 : x
  2. Step 2: Convert to fraction form
    5,183.68/7,768.80 = 2,712.24/x
  3. Step 3: Cross multiply
    5,183.68x = 7,768.80 × 2,712.24
  4. Step 4: Simplify right side
    5,183.68x = 21,070,850.11
  5. Step 5: Solve for x
    x = 21,070,850.11/5,183.68
  6. Step 6: Final answer
    x = 4,064.84

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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.