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Finding the Fourth Proportional to 3,152, 4,728.27 and 960.75

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Solution

The fourth proportional to 3,152, 4,728.27 and 960.75 is: 1,441.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152 : 4,728.27 = 960.75 : x
  2. Step 2: Convert to fraction form
    3,152/4,728.27 = 960.75/x
  3. Step 3: Cross multiply
    3,152x = 4,728.27 × 960.75
  4. Step 4: Simplify right side
    3,152x = 4,542,685.40
  5. Step 5: Solve for x
    x = 4,542,685.40/3,152
  6. Step 6: Final answer
    x = 1,441.21

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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.