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Finding the Fourth Proportional to 4,922.40, 7,367.40 and 3,820.80

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Solution

The fourth proportional to 4,922.40, 7,367.40 and 3,820.80 is: 5,718.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,922.40 : 7,367.40 = 3,820.80 : x
  2. Step 2: Convert to fraction form
    4,922.40/7,367.40 = 3,820.80/x
  3. Step 3: Cross multiply
    4,922.40x = 7,367.40 × 3,820.80
  4. Step 4: Simplify right side
    4,922.40x = 28,149,361.92
  5. Step 5: Solve for x
    x = 28,149,361.92/4,922.40
  6. Step 6: Final answer
    x = 5,718.63

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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.