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Finding the Fourth Proportional to 5,183.98, 7,774.82 and 1,485.38

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Solution

The fourth proportional to 5,183.98, 7,774.82 and 1,485.38 is: 2,227.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,183.98 : 7,774.82 = 1,485.38 : x
  2. Step 2: Convert to fraction form
    5,183.98/7,774.82 = 1,485.38/x
  3. Step 3: Cross multiply
    5,183.98x = 7,774.82 × 1,485.38
  4. Step 4: Simplify right side
    5,183.98x = 11,548,574.14
  5. Step 5: Solve for x
    x = 11,548,574.14/5,183.98
  6. Step 6: Final answer
    x = 2,227.74

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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.