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Finding the Fourth Proportional to 5,786.48, 8,662.44 and 3,939.44

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Solution

The fourth proportional to 5,786.48, 8,662.44 and 3,939.44 is: 5,897.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.48 : 8,662.44 = 3,939.44 : x
  2. Step 2: Convert to fraction form
    5,786.48/8,662.44 = 3,939.44/x
  3. Step 3: Cross multiply
    5,786.48x = 8,662.44 × 3,939.44
  4. Step 4: Simplify right side
    5,786.48x = 34,125,162.63
  5. Step 5: Solve for x
    x = 34,125,162.63/5,786.48
  6. Step 6: Final answer
    x = 5,897.40

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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.