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Finding the Fourth Proportional to 5,786.25, 8,679.78 and 2,323.50

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Solution

The fourth proportional to 5,786.25, 8,679.78 and 2,323.50 is: 3,485.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.25 : 8,679.78 = 2,323.50 : x
  2. Step 2: Convert to fraction form
    5,786.25/8,679.78 = 2,323.50/x
  3. Step 3: Cross multiply
    5,786.25x = 8,679.78 × 2,323.50
  4. Step 4: Simplify right side
    5,786.25x = 20,167,468.83
  5. Step 5: Solve for x
    x = 20,167,468.83/5,786.25
  6. Step 6: Final answer
    x = 3,485.41

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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.