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Finding the Fourth Proportional to 5,738.40, 8,608.80 and 1,843.20

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Solution

The fourth proportional to 5,738.40, 8,608.80 and 1,843.20 is: 2,765.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.40 : 8,608.80 = 1,843.20 : x
  2. Step 2: Convert to fraction form
    5,738.40/8,608.80 = 1,843.20/x
  3. Step 3: Cross multiply
    5,738.40x = 8,608.80 × 1,843.20
  4. Step 4: Simplify right side
    5,738.40x = 15,867,740.16
  5. Step 5: Solve for x
    x = 15,867,740.16/5,738.40
  6. Step 6: Final answer
    x = 2,765.19

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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.