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Finding the Fourth Proportional to 4,764.49, 7,147.22 and 1,644.09

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Solution

The fourth proportional to 4,764.49, 7,147.22 and 1,644.09 is: 2,466.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764.49 : 7,147.22 = 1,644.09 : x
  2. Step 2: Convert to fraction form
    4,764.49/7,147.22 = 1,644.09/x
  3. Step 3: Cross multiply
    4,764.49x = 7,147.22 × 1,644.09
  4. Step 4: Simplify right side
    4,764.49x = 11,750,672.93
  5. Step 5: Solve for x
    x = 11,750,672.93/4,764.49
  6. Step 6: Final answer
    x = 2,466.30

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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.