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Finding the Fourth Proportional to 5,230.37, 7,847.38 and 1,944.41

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Solution

The fourth proportional to 5,230.37, 7,847.38 and 1,944.41 is: 2,917.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230.37 : 7,847.38 = 1,944.41 : x
  2. Step 2: Convert to fraction form
    5,230.37/7,847.38 = 1,944.41/x
  3. Step 3: Cross multiply
    5,230.37x = 7,847.38 × 1,944.41
  4. Step 4: Simplify right side
    5,230.37x = 15,258,487.34
  5. Step 5: Solve for x
    x = 15,258,487.34/5,230.37
  6. Step 6: Final answer
    x = 2,917.29

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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.