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Finding the Fourth Proportional to 3,786.73, 5,682.14 and 1,596.98

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Solution

The fourth proportional to 3,786.73, 5,682.14 and 1,596.98 is: 2,396.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786.73 : 5,682.14 = 1,596.98 : x
  2. Step 2: Convert to fraction form
    3,786.73/5,682.14 = 1,596.98/x
  3. Step 3: Cross multiply
    3,786.73x = 5,682.14 × 1,596.98
  4. Step 4: Simplify right side
    3,786.73x = 9,074,263.94
  5. Step 5: Solve for x
    x = 9,074,263.94/3,786.73
  6. Step 6: Final answer
    x = 2,396.33

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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.