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Finding the Fourth Proportional to 5,321.58, 7,942.14 and 5,183.34

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Solution

The fourth proportional to 5,321.58, 7,942.14 and 5,183.34 is: 7,735.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,321.58 : 7,942.14 = 5,183.34 : x
  2. Step 2: Convert to fraction form
    5,321.58/7,942.14 = 5,183.34/x
  3. Step 3: Cross multiply
    5,321.58x = 7,942.14 × 5,183.34
  4. Step 4: Simplify right side
    5,321.58x = 41,166,811.95
  5. Step 5: Solve for x
    x = 41,166,811.95/5,321.58
  6. Step 6: Final answer
    x = 7,735.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.