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Finding the Fourth Proportional to 3,832.92, 5,289.49 and 2,154.23

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Solution

The fourth proportional to 3,832.92, 5,289.49 and 2,154.23 is: 2,972.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.92 : 5,289.49 = 2,154.23 : x
  2. Step 2: Convert to fraction form
    3,832.92/5,289.49 = 2,154.23/x
  3. Step 3: Cross multiply
    3,832.92x = 5,289.49 × 2,154.23
  4. Step 4: Simplify right side
    3,832.92x = 11,394,784.32
  5. Step 5: Solve for x
    x = 11,394,784.32/3,832.92
  6. Step 6: Final answer
    x = 2,972.87

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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.