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Finding the Fourth Proportional to 5,786.22, 7,984.94 and 3,133.60

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Solution

The fourth proportional to 5,786.22, 7,984.94 and 3,133.60 is: 4,324.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.22 : 7,984.94 = 3,133.60 : x
  2. Step 2: Convert to fraction form
    5,786.22/7,984.94 = 3,133.60/x
  3. Step 3: Cross multiply
    5,786.22x = 7,984.94 × 3,133.60
  4. Step 4: Simplify right side
    5,786.22x = 25,021,607.98
  5. Step 5: Solve for x
    x = 25,021,607.98/5,786.22
  6. Step 6: Final answer
    x = 4,324.34

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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.