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Finding the Fourth Proportional to 3,300.05, 4,949.32 and 960.05

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Solution

The fourth proportional to 3,300.05, 4,949.32 and 960.05 is: 1,439.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,300.05 : 4,949.32 = 960.05 : x
  2. Step 2: Convert to fraction form
    3,300.05/4,949.32 = 960.05/x
  3. Step 3: Cross multiply
    3,300.05x = 4,949.32 × 960.05
  4. Step 4: Simplify right side
    3,300.05x = 4,751,594.67
  5. Step 5: Solve for x
    x = 4,751,594.67/3,300.05
  6. Step 6: Final answer
    x = 1,439.86

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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.