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Finding the Fourth Proportional to 4,546.26, 6,786.23 and 3,992.69

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Solution

The fourth proportional to 4,546.26, 6,786.23 and 3,992.69 is: 5,959.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,546.26 : 6,786.23 = 3,992.69 : x
  2. Step 2: Convert to fraction form
    4,546.26/6,786.23 = 3,992.69/x
  3. Step 3: Cross multiply
    4,546.26x = 6,786.23 × 3,992.69
  4. Step 4: Simplify right side
    4,546.26x = 27,095,258.76
  5. Step 5: Solve for x
    x = 27,095,258.76/4,546.26
  6. Step 6: Final answer
    x = 5,959.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.