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Finding the Fourth Proportional to 3,093, 4,640.16 and 901.56

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Solution

The fourth proportional to 3,093, 4,640.16 and 901.56 is: 1,352.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,093 : 4,640.16 = 901.56 : x
  2. Step 2: Convert to fraction form
    3,093/4,640.16 = 901.56/x
  3. Step 3: Cross multiply
    3,093x = 4,640.16 × 901.56
  4. Step 4: Simplify right side
    3,093x = 4,183,382.65
  5. Step 5: Solve for x
    x = 4,183,382.65/3,093
  6. Step 6: Final answer
    x = 1,352.53

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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.