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Finding the Fourth Proportional to 5,855.78, 8,771.46 and 2,738.48

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Solution

The fourth proportional to 5,855.78, 8,771.46 and 2,738.48 is: 4,102.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,855.78 : 8,771.46 = 2,738.48 : x
  2. Step 2: Convert to fraction form
    5,855.78/8,771.46 = 2,738.48/x
  3. Step 3: Cross multiply
    5,855.78x = 8,771.46 × 2,738.48
  4. Step 4: Simplify right side
    5,855.78x = 24,020,467.78
  5. Step 5: Solve for x
    x = 24,020,467.78/5,855.78
  6. Step 6: Final answer
    x = 4,102.01

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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.