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Finding the Fourth Proportional to 3,367.74, 5,050.20 and 1,983.86

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Solution

The fourth proportional to 3,367.74, 5,050.20 and 1,983.86 is: 2,974.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,367.74 : 5,050.20 = 1,983.86 : x
  2. Step 2: Convert to fraction form
    3,367.74/5,050.20 = 1,983.86/x
  3. Step 3: Cross multiply
    3,367.74x = 5,050.20 × 1,983.86
  4. Step 4: Simplify right side
    3,367.74x = 10,018,889.77
  5. Step 5: Solve for x
    x = 10,018,889.77/3,367.74
  6. Step 6: Final answer
    x = 2,974.96

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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.