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Finding the Fourth Proportional to 4,783.92, 7,183.44 and 2,844.78

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Solution

The fourth proportional to 4,783.92, 7,183.44 and 2,844.78 is: 4,271.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,783.92 : 7,183.44 = 2,844.78 : x
  2. Step 2: Convert to fraction form
    4,783.92/7,183.44 = 2,844.78/x
  3. Step 3: Cross multiply
    4,783.92x = 7,183.44 × 2,844.78
  4. Step 4: Simplify right side
    4,783.92x = 20,435,306.44
  5. Step 5: Solve for x
    x = 20,435,306.44/4,783.92
  6. Step 6: Final answer
    x = 4,271.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.