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Finding the Fourth Proportional to 5,093.80, 7,647.90 and 3,149.80

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Solution

The fourth proportional to 5,093.80, 7,647.90 and 3,149.80 is: 4,729.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,093.80 : 7,647.90 = 3,149.80 : x
  2. Step 2: Convert to fraction form
    5,093.80/7,647.90 = 3,149.80/x
  3. Step 3: Cross multiply
    5,093.80x = 7,647.90 × 3,149.80
  4. Step 4: Simplify right side
    5,093.80x = 24,089,355.42
  5. Step 5: Solve for x
    x = 24,089,355.42/5,093.80
  6. Step 6: Final answer
    x = 4,729.15

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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.