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Finding the Fourth Proportional to 3,969.66, 5,955.37 and 2,119.80

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Solution

The fourth proportional to 3,969.66, 5,955.37 and 2,119.80 is: 3,180.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.66 : 5,955.37 = 2,119.80 : x
  2. Step 2: Convert to fraction form
    3,969.66/5,955.37 = 2,119.80/x
  3. Step 3: Cross multiply
    3,969.66x = 5,955.37 × 2,119.80
  4. Step 4: Simplify right side
    3,969.66x = 12,624,193.33
  5. Step 5: Solve for x
    x = 12,624,193.33/3,969.66
  6. Step 6: Final answer
    x = 3,180.17

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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.