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Finding the Fourth Proportional to 3,964.94, 5,950.14 and 1,367.88

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Solution

The fourth proportional to 3,964.94, 5,950.14 and 1,367.88 is: 2,052.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.94 : 5,950.14 = 1,367.88 : x
  2. Step 2: Convert to fraction form
    3,964.94/5,950.14 = 1,367.88/x
  3. Step 3: Cross multiply
    3,964.94x = 5,950.14 × 1,367.88
  4. Step 4: Simplify right side
    3,964.94x = 8,139,077.50
  5. Step 5: Solve for x
    x = 8,139,077.50/3,964.94
  6. Step 6: Final answer
    x = 2,052.76

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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.