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Finding the Fourth Proportional to 5,144.36, 7,099.23 and 2,786.50

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Solution

The fourth proportional to 5,144.36, 7,099.23 and 2,786.50 is: 3,845.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,144.36 : 7,099.23 = 2,786.50 : x
  2. Step 2: Convert to fraction form
    5,144.36/7,099.23 = 2,786.50/x
  3. Step 3: Cross multiply
    5,144.36x = 7,099.23 × 2,786.50
  4. Step 4: Simplify right side
    5,144.36x = 19,782,004.40
  5. Step 5: Solve for x
    x = 19,782,004.40/5,144.36
  6. Step 6: Final answer
    x = 3,845.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.