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Finding the Fourth Proportional to 4,738.26, 7,107.73 and 1,450.93

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Solution

The fourth proportional to 4,738.26, 7,107.73 and 1,450.93 is: 2,176.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,738.26 : 7,107.73 = 1,450.93 : x
  2. Step 2: Convert to fraction form
    4,738.26/7,107.73 = 1,450.93/x
  3. Step 3: Cross multiply
    4,738.26x = 7,107.73 × 1,450.93
  4. Step 4: Simplify right side
    4,738.26x = 10,312,797.29
  5. Step 5: Solve for x
    x = 10,312,797.29/4,738.26
  6. Step 6: Final answer
    x = 2,176.49

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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.