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Finding the Fourth Proportional to 4,507.98, 6,757.41 and 2,164.56

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Solution

The fourth proportional to 4,507.98, 6,757.41 and 2,164.56 is: 3,244.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,507.98 : 6,757.41 = 2,164.56 : x
  2. Step 2: Convert to fraction form
    4,507.98/6,757.41 = 2,164.56/x
  3. Step 3: Cross multiply
    4,507.98x = 6,757.41 × 2,164.56
  4. Step 4: Simplify right side
    4,507.98x = 14,626,819.39
  5. Step 5: Solve for x
    x = 14,626,819.39/4,507.98
  6. Step 6: Final answer
    x = 3,244.65

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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.