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Finding the Fourth Proportional to 5,194.75, 7,784.20 and 3,808.99

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Solution

The fourth proportional to 5,194.75, 7,784.20 and 3,808.99 is: 5,707.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.75 : 7,784.20 = 3,808.99 : x
  2. Step 2: Convert to fraction form
    5,194.75/7,784.20 = 3,808.99/x
  3. Step 3: Cross multiply
    5,194.75x = 7,784.20 × 3,808.99
  4. Step 4: Simplify right side
    5,194.75x = 29,649,939.96
  5. Step 5: Solve for x
    x = 29,649,939.96/5,194.75
  6. Step 6: Final answer
    x = 5,707.67

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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.