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Finding the Fourth Proportional to 3,969.67, 5,950.97 and 1,506.22

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Solution

The fourth proportional to 3,969.67, 5,950.97 and 1,506.22 is: 2,257.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.67 : 5,950.97 = 1,506.22 : x
  2. Step 2: Convert to fraction form
    3,969.67/5,950.97 = 1,506.22/x
  3. Step 3: Cross multiply
    3,969.67x = 5,950.97 × 1,506.22
  4. Step 4: Simplify right side
    3,969.67x = 8,963,470.03
  5. Step 5: Solve for x
    x = 8,963,470.03/3,969.67
  6. Step 6: Final answer
    x = 2,257.99

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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.