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Finding the Fourth Proportional to 3,855.62, 5,783.07 and 1,082.54

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Solution

The fourth proportional to 3,855.62, 5,783.07 and 1,082.54 is: 1,623.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.62 : 5,783.07 = 1,082.54 : x
  2. Step 2: Convert to fraction form
    3,855.62/5,783.07 = 1,082.54/x
  3. Step 3: Cross multiply
    3,855.62x = 5,783.07 × 1,082.54
  4. Step 4: Simplify right side
    3,855.62x = 6,260,404.60
  5. Step 5: Solve for x
    x = 6,260,404.60/3,855.62
  6. Step 6: Final answer
    x = 1,623.71

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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.