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Finding the Fourth Proportional to 3,969.90, 5,950.53 and 2,584.22

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Solution

The fourth proportional to 3,969.90, 5,950.53 and 2,584.22 is: 3,873.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.90 : 5,950.53 = 2,584.22 : x
  2. Step 2: Convert to fraction form
    3,969.90/5,950.53 = 2,584.22/x
  3. Step 3: Cross multiply
    3,969.90x = 5,950.53 × 2,584.22
  4. Step 4: Simplify right side
    3,969.90x = 15,377,448.88
  5. Step 5: Solve for x
    x = 15,377,448.88/3,969.90
  6. Step 6: Final answer
    x = 3,873.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.