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Finding the Fourth Proportional to 5,183.95, 7,775.19 and 1,486.49

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Solution

The fourth proportional to 5,183.95, 7,775.19 and 1,486.49 is: 2,229.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,183.95 : 7,775.19 = 1,486.49 : x
  2. Step 2: Convert to fraction form
    5,183.95/7,775.19 = 1,486.49/x
  3. Step 3: Cross multiply
    5,183.95x = 7,775.19 × 1,486.49
  4. Step 4: Simplify right side
    5,183.95x = 11,557,742.18
  5. Step 5: Solve for x
    x = 11,557,742.18/5,183.95
  6. Step 6: Final answer
    x = 2,229.53

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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.