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Finding the Fourth Proportional to 5,786.96, 7,986.06 and 3,134.43

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Solution

The fourth proportional to 5,786.96, 7,986.06 and 3,134.43 is: 4,325.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.96 : 7,986.06 = 3,134.43 : x
  2. Step 2: Convert to fraction form
    5,786.96/7,986.06 = 3,134.43/x
  3. Step 3: Cross multiply
    5,786.96x = 7,986.06 × 3,134.43
  4. Step 4: Simplify right side
    5,786.96x = 25,031,746.05
  5. Step 5: Solve for x
    x = 25,031,746.05/5,786.96
  6. Step 6: Final answer
    x = 4,325.54

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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.