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Finding the Fourth Proportional to 4,811.50, 6,624.43 and 4,190.23

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Solution

The fourth proportional to 4,811.50, 6,624.43 and 4,190.23 is: 5,769.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,811.50 : 6,624.43 = 4,190.23 : x
  2. Step 2: Convert to fraction form
    4,811.50/6,624.43 = 4,190.23/x
  3. Step 3: Cross multiply
    4,811.50x = 6,624.43 × 4,190.23
  4. Step 4: Simplify right side
    4,811.50x = 27,757,906.69
  5. Step 5: Solve for x
    x = 27,757,906.69/4,811.50
  6. Step 6: Final answer
    x = 5,769.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.