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Finding the Fourth Proportional to 4,828.49, 7,243.87 and 1,496.57

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Solution

The fourth proportional to 4,828.49, 7,243.87 and 1,496.57 is: 2,245.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,828.49 : 7,243.87 = 1,496.57 : x
  2. Step 2: Convert to fraction form
    4,828.49/7,243.87 = 1,496.57/x
  3. Step 3: Cross multiply
    4,828.49x = 7,243.87 × 1,496.57
  4. Step 4: Simplify right side
    4,828.49x = 10,840,942.80
  5. Step 5: Solve for x
    x = 10,840,942.80/4,828.49
  6. Step 6: Final answer
    x = 2,245.20

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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.