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Finding the Fourth Proportional to 5,147.22, 7,722.02 and 2,647.46

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Solution

The fourth proportional to 5,147.22, 7,722.02 and 2,647.46 is: 3,971.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,147.22 : 7,722.02 = 2,647.46 : x
  2. Step 2: Convert to fraction form
    5,147.22/7,722.02 = 2,647.46/x
  3. Step 3: Cross multiply
    5,147.22x = 7,722.02 × 2,647.46
  4. Step 4: Simplify right side
    5,147.22x = 20,443,687.22
  5. Step 5: Solve for x
    x = 20,443,687.22/5,147.22
  6. Step 6: Final answer
    x = 3,971.79

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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.