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Finding the Fourth Proportional to 5,173.58, 7,762.26 and 3,227.42

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Solution

The fourth proportional to 5,173.58, 7,762.26 and 3,227.42 is: 4,842.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,173.58 : 7,762.26 = 3,227.42 : x
  2. Step 2: Convert to fraction form
    5,173.58/7,762.26 = 3,227.42/x
  3. Step 3: Cross multiply
    5,173.58x = 7,762.26 × 3,227.42
  4. Step 4: Simplify right side
    5,173.58x = 25,052,073.17
  5. Step 5: Solve for x
    x = 25,052,073.17/5,173.58
  6. Step 6: Final answer
    x = 4,842.31

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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.