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Finding the Fourth Proportional to 5,786.92, 7,985.93 and 3,134.33

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Solution

The fourth proportional to 5,786.92, 7,985.93 and 3,134.33 is: 4,325.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.92 : 7,985.93 = 3,134.33 : x
  2. Step 2: Convert to fraction form
    5,786.92/7,985.93 = 3,134.33/x
  3. Step 3: Cross multiply
    5,786.92x = 7,985.93 × 3,134.33
  4. Step 4: Simplify right side
    5,786.92x = 25,030,524.31
  5. Step 5: Solve for x
    x = 25,030,524.31/5,786.92
  6. Step 6: Final answer
    x = 4,325.37

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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.