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Finding the Fourth Proportional to 4,480.67, 6,183.81 and 2,566.67

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Solution

The fourth proportional to 4,480.67, 6,183.81 and 2,566.67 is: 3,542.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,480.67 : 6,183.81 = 2,566.67 : x
  2. Step 2: Convert to fraction form
    4,480.67/6,183.81 = 2,566.67/x
  3. Step 3: Cross multiply
    4,480.67x = 6,183.81 × 2,566.67
  4. Step 4: Simplify right side
    4,480.67x = 15,871,768.69
  5. Step 5: Solve for x
    x = 15,871,768.69/4,480.67
  6. Step 6: Final answer
    x = 3,542.28

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Why These Related Problems?

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