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Finding the Fourth Proportional to 4,744.80, 6,546.78 and 2,977.20

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Solution

The fourth proportional to 4,744.80, 6,546.78 and 2,977.20 is: 4,107.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,744.80 : 6,546.78 = 2,977.20 : x
  2. Step 2: Convert to fraction form
    4,744.80/6,546.78 = 2,977.20/x
  3. Step 3: Cross multiply
    4,744.80x = 6,546.78 × 2,977.20
  4. Step 4: Simplify right side
    4,744.80x = 19,491,073.42
  5. Step 5: Solve for x
    x = 19,491,073.42/4,744.80
  6. Step 6: Final answer
    x = 4,107.88

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