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Finding the Fourth Proportional to 3,300.07, 4,950.11 and 960.22

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Solution

The fourth proportional to 3,300.07, 4,950.11 and 960.22 is: 1,440.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,300.07 : 4,950.11 = 960.22 : x
  2. Step 2: Convert to fraction form
    3,300.07/4,950.11 = 960.22/x
  3. Step 3: Cross multiply
    3,300.07x = 4,950.11 × 960.22
  4. Step 4: Simplify right side
    3,300.07x = 4,753,194.62
  5. Step 5: Solve for x
    x = 4,753,194.62/3,300.07
  6. Step 6: Final answer
    x = 1,440.33

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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.