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Finding the Fourth Proportional to 3,786.56, 5,675.64 and 2,859.11

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Solution

The fourth proportional to 3,786.56, 5,675.64 and 2,859.11 is: 4,285.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786.56 : 5,675.64 = 2,859.11 : x
  2. Step 2: Convert to fraction form
    3,786.56/5,675.64 = 2,859.11/x
  3. Step 3: Cross multiply
    3,786.56x = 5,675.64 × 2,859.11
  4. Step 4: Simplify right side
    3,786.56x = 16,227,279.08
  5. Step 5: Solve for x
    x = 16,227,279.08/3,786.56
  6. Step 6: Final answer
    x = 4,285.49

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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.