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Finding the Fourth Proportional to 5,169.50, 7,133.91 and 2,811.64

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Solution

The fourth proportional to 5,169.50, 7,133.91 and 2,811.64 is: 3,880.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,169.50 : 7,133.91 = 2,811.64 : x
  2. Step 2: Convert to fraction form
    5,169.50/7,133.91 = 2,811.64/x
  3. Step 3: Cross multiply
    5,169.50x = 7,133.91 × 2,811.64
  4. Step 4: Simplify right side
    5,169.50x = 20,057,936.98
  5. Step 5: Solve for x
    x = 20,057,936.98/5,169.50
  6. Step 6: Final answer
    x = 3,880.06

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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.