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Finding the Fourth Proportional to 3,806.92, 5,253.48 and 2,150.92

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Solution

The fourth proportional to 3,806.92, 5,253.48 and 2,150.92 is: 2,968.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.92 : 5,253.48 = 2,150.92 : x
  2. Step 2: Convert to fraction form
    3,806.92/5,253.48 = 2,150.92/x
  3. Step 3: Cross multiply
    3,806.92x = 5,253.48 × 2,150.92
  4. Step 4: Simplify right side
    3,806.92x = 11,299,815.20
  5. Step 5: Solve for x
    x = 11,299,815.20/3,806.92
  6. Step 6: Final answer
    x = 2,968.23

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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.