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Finding the Fourth Proportional to 4,663.89, 6,992.73 and 3,183.57

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Solution

The fourth proportional to 4,663.89, 6,992.73 and 3,183.57 is: 4,773.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.89 : 6,992.73 = 3,183.57 : x
  2. Step 2: Convert to fraction form
    4,663.89/6,992.73 = 3,183.57/x
  3. Step 3: Cross multiply
    4,663.89x = 6,992.73 × 3,183.57
  4. Step 4: Simplify right side
    4,663.89x = 22,261,845.45
  5. Step 5: Solve for x
    x = 22,261,845.45/4,663.89
  6. Step 6: Final answer
    x = 4,773.24

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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.