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Finding the Fourth Proportional to 4,185.97, 6,279.81 and 1,264.30

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Solution

The fourth proportional to 4,185.97, 6,279.81 and 1,264.30 is: 1,896.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,185.97 : 6,279.81 = 1,264.30 : x
  2. Step 2: Convert to fraction form
    4,185.97/6,279.81 = 1,264.30/x
  3. Step 3: Cross multiply
    4,185.97x = 6,279.81 × 1,264.30
  4. Step 4: Simplify right side
    4,185.97x = 7,939,563.78
  5. Step 5: Solve for x
    x = 7,939,563.78/4,185.97
  6. Step 6: Final answer
    x = 1,896.71

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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.