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Finding the Fourth Proportional to 3,967.06, 5,950.50 and 1,369.76

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Solution

The fourth proportional to 3,967.06, 5,950.50 and 1,369.76 is: 2,054.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.06 : 5,950.50 = 1,369.76 : x
  2. Step 2: Convert to fraction form
    3,967.06/5,950.50 = 1,369.76/x
  3. Step 3: Cross multiply
    3,967.06x = 5,950.50 × 1,369.76
  4. Step 4: Simplify right side
    3,967.06x = 8,150,756.88
  5. Step 5: Solve for x
    x = 8,150,756.88/3,967.06
  6. Step 6: Final answer
    x = 2,054.61

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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.