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Finding the Fourth Proportional to 5,944.92, 8,912.08 and 2,823

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Solution

The fourth proportional to 5,944.92, 8,912.08 and 2,823 is: 4,231.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,944.92 : 8,912.08 = 2,823 : x
  2. Step 2: Convert to fraction form
    5,944.92/8,912.08 = 2,823/x
  3. Step 3: Cross multiply
    5,944.92x = 8,912.08 × 2,823
  4. Step 4: Simplify right side
    5,944.92x = 25,158,801.84
  5. Step 5: Solve for x
    x = 25,158,801.84/5,944.92
  6. Step 6: Final answer
    x = 4,231.98

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1.5x scale

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.