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Finding the Fourth Proportional to 4,816.82, 6,647.27 and 2,828.01

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Solution

The fourth proportional to 4,816.82, 6,647.27 and 2,828.01 is: 3,902.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,816.82 : 6,647.27 = 2,828.01 : x
  2. Step 2: Convert to fraction form
    4,816.82/6,647.27 = 2,828.01/x
  3. Step 3: Cross multiply
    4,816.82x = 6,647.27 × 2,828.01
  4. Step 4: Simplify right side
    4,816.82x = 18,798,556.82
  5. Step 5: Solve for x
    x = 18,798,556.82/4,816.82
  6. Step 6: Final answer
    x = 3,902.69

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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.