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Finding the Fourth Proportional to 4,814.48, 7,222 and 1,736.48

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Solution

The fourth proportional to 4,814.48, 7,222 and 1,736.48 is: 2,604.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,814.48 : 7,222 = 1,736.48 : x
  2. Step 2: Convert to fraction form
    4,814.48/7,222 = 1,736.48/x
  3. Step 3: Cross multiply
    4,814.48x = 7,222 × 1,736.48
  4. Step 4: Simplify right side
    4,814.48x = 12,540,858.56
  5. Step 5: Solve for x
    x = 12,540,858.56/4,814.48
  6. Step 6: Final answer
    x = 2,604.82

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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.