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Finding the Fourth Proportional to 3,855.16, 5,769.06 and 3,027.74

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Solution

The fourth proportional to 3,855.16, 5,769.06 and 3,027.74 is: 4,530.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.16 : 5,769.06 = 3,027.74 : x
  2. Step 2: Convert to fraction form
    3,855.16/5,769.06 = 3,027.74/x
  3. Step 3: Cross multiply
    3,855.16x = 5,769.06 × 3,027.74
  4. Step 4: Simplify right side
    3,855.16x = 17,467,213.72
  5. Step 5: Solve for x
    x = 17,467,213.72/3,855.16
  6. Step 6: Final answer
    x = 4,530.87

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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.