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Finding the Fourth Proportional to 5,934.54, 8,190.90 and 4,938.84

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Solution

The fourth proportional to 5,934.54, 8,190.90 and 4,938.84 is: 6,816.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,934.54 : 8,190.90 = 4,938.84 : x
  2. Step 2: Convert to fraction form
    5,934.54/8,190.90 = 4,938.84/x
  3. Step 3: Cross multiply
    5,934.54x = 8,190.90 × 4,938.84
  4. Step 4: Simplify right side
    5,934.54x = 40,453,544.56
  5. Step 5: Solve for x
    x = 40,453,544.56/5,934.54
  6. Step 6: Final answer
    x = 6,816.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.