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Finding the Fourth Proportional to 4,738.86, 7,110.78 and 3,361.08

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Solution

The fourth proportional to 4,738.86, 7,110.78 and 3,361.08 is: 5,043.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,738.86 : 7,110.78 = 3,361.08 : x
  2. Step 2: Convert to fraction form
    4,738.86/7,110.78 = 3,361.08/x
  3. Step 3: Cross multiply
    4,738.86x = 7,110.78 × 3,361.08
  4. Step 4: Simplify right side
    4,738.86x = 23,899,900.44
  5. Step 5: Solve for x
    x = 23,899,900.44/4,738.86
  6. Step 6: Final answer
    x = 5,043.39

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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.