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Finding the Fourth Proportional to 4,485.72, 6,728.71 and 1,198.82

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Solution

The fourth proportional to 4,485.72, 6,728.71 and 1,198.82 is: 1,798.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,485.72 : 6,728.71 = 1,198.82 : x
  2. Step 2: Convert to fraction form
    4,485.72/6,728.71 = 1,198.82/x
  3. Step 3: Cross multiply
    4,485.72x = 6,728.71 × 1,198.82
  4. Step 4: Simplify right side
    4,485.72x = 8,066,515.12
  5. Step 5: Solve for x
    x = 8,066,515.12/4,485.72
  6. Step 6: Final answer
    x = 1,798.26

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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.