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Finding the Fourth Proportional to 4,644.20, 6,977.24 and 3,783.98

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Solution

The fourth proportional to 4,644.20, 6,977.24 and 3,783.98 is: 5,684.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.20 : 6,977.24 = 3,783.98 : x
  2. Step 2: Convert to fraction form
    4,644.20/6,977.24 = 3,783.98/x
  3. Step 3: Cross multiply
    4,644.20x = 6,977.24 × 3,783.98
  4. Step 4: Simplify right side
    4,644.20x = 26,401,736.62
  5. Step 5: Solve for x
    x = 26,401,736.62/4,644.20
  6. Step 6: Final answer
    x = 5,684.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.