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Finding the Fourth Proportional to 3,961.65, 5,469.75 and 3,540.65

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Solution

The fourth proportional to 3,961.65, 5,469.75 and 3,540.65 is: 4,888.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,961.65 : 5,469.75 = 3,540.65 : x
  2. Step 2: Convert to fraction form
    3,961.65/5,469.75 = 3,540.65/x
  3. Step 3: Cross multiply
    3,961.65x = 5,469.75 × 3,540.65
  4. Step 4: Simplify right side
    3,961.65x = 19,366,484.01
  5. Step 5: Solve for x
    x = 19,366,484.01/3,961.65
  6. Step 6: Final answer
    x = 4,888.49

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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.