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Finding the Fourth Proportional to 4,738.14, 7,105.20 and 1,450.50

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Solution

The fourth proportional to 4,738.14, 7,105.20 and 1,450.50 is: 2,175.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,738.14 : 7,105.20 = 1,450.50 : x
  2. Step 2: Convert to fraction form
    4,738.14/7,105.20 = 1,450.50/x
  3. Step 3: Cross multiply
    4,738.14x = 7,105.20 × 1,450.50
  4. Step 4: Simplify right side
    4,738.14x = 10,306,092.60
  5. Step 5: Solve for x
    x = 10,306,092.60/4,738.14
  6. Step 6: Final answer
    x = 2,175.13

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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.