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Finding the Fourth Proportional to 3,832, 5,289.12 and 2,176.96

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Solution

The fourth proportional to 3,832, 5,289.12 and 2,176.96 is: 3,004.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832 : 5,289.12 = 2,176.96 : x
  2. Step 2: Convert to fraction form
    3,832/5,289.12 = 2,176.96/x
  3. Step 3: Cross multiply
    3,832x = 5,289.12 × 2,176.96
  4. Step 4: Simplify right side
    3,832x = 11,514,202.68
  5. Step 5: Solve for x
    x = 11,514,202.68/3,832
  6. Step 6: Final answer
    x = 3,004.75

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1.5x scale

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.