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Finding the Fourth Proportional to 3,860.63, 5,786.96 and 1,519.68

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Solution

The fourth proportional to 3,860.63, 5,786.96 and 1,519.68 is: 2,277.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,860.63 : 5,786.96 = 1,519.68 : x
  2. Step 2: Convert to fraction form
    3,860.63/5,786.96 = 1,519.68/x
  3. Step 3: Cross multiply
    3,860.63x = 5,786.96 × 1,519.68
  4. Step 4: Simplify right side
    3,860.63x = 8,794,319.77
  5. Step 5: Solve for x
    x = 8,794,319.77/3,860.63
  6. Step 6: Final answer
    x = 2,277.95

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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.