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Finding the Fourth Proportional to 4,234.73, 5,842.06 and 2,556.20

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Solution

The fourth proportional to 4,234.73, 5,842.06 and 2,556.20 is: 3,526.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,234.73 : 5,842.06 = 2,556.20 : x
  2. Step 2: Convert to fraction form
    4,234.73/5,842.06 = 2,556.20/x
  3. Step 3: Cross multiply
    4,234.73x = 5,842.06 × 2,556.20
  4. Step 4: Simplify right side
    4,234.73x = 14,933,481.99
  5. Step 5: Solve for x
    x = 14,933,481.99/4,234.73
  6. Step 6: Final answer
    x = 3,526.43

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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.