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Finding the Fourth Proportional to 4,556.18, 6,822.45 and 3,902.26

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Solution

The fourth proportional to 4,556.18, 6,822.45 and 3,902.26 is: 5,843.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,556.18 : 6,822.45 = 3,902.26 : x
  2. Step 2: Convert to fraction form
    4,556.18/6,822.45 = 3,902.26/x
  3. Step 3: Cross multiply
    4,556.18x = 6,822.45 × 3,902.26
  4. Step 4: Simplify right side
    4,556.18x = 26,622,992.77
  5. Step 5: Solve for x
    x = 26,622,992.77/4,556.18
  6. Step 6: Final answer
    x = 5,843.27

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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.