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Finding the Fourth Proportional to 3,648.83, 5,473.22 and 1,183.55

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Solution

The fourth proportional to 3,648.83, 5,473.22 and 1,183.55 is: 1,775.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648.83 : 5,473.22 = 1,183.55 : x
  2. Step 2: Convert to fraction form
    3,648.83/5,473.22 = 1,183.55/x
  3. Step 3: Cross multiply
    3,648.83x = 5,473.22 × 1,183.55
  4. Step 4: Simplify right side
    3,648.83x = 6,477,796.25
  5. Step 5: Solve for x
    x = 6,477,796.25/3,648.83
  6. Step 6: Final answer
    x = 1,775.31

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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.