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Finding the Fourth Proportional to 4,183.94, 5,768.06 and 4,054.54

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Solution

The fourth proportional to 4,183.94, 5,768.06 and 4,054.54 is: 5,589.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,183.94 : 5,768.06 = 4,054.54 : x
  2. Step 2: Convert to fraction form
    4,183.94/5,768.06 = 4,054.54/x
  3. Step 3: Cross multiply
    4,183.94x = 5,768.06 × 4,054.54
  4. Step 4: Simplify right side
    4,183.94x = 23,386,795.30
  5. Step 5: Solve for x
    x = 23,386,795.30/4,183.94
  6. Step 6: Final answer
    x = 5,589.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.