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Finding the Fourth Proportional to 4,266.33, 5,890.23 and 3,269.76

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Solution

The fourth proportional to 4,266.33, 5,890.23 and 3,269.76 is: 4,514.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,266.33 : 5,890.23 = 3,269.76 : x
  2. Step 2: Convert to fraction form
    4,266.33/5,890.23 = 3,269.76/x
  3. Step 3: Cross multiply
    4,266.33x = 5,890.23 × 3,269.76
  4. Step 4: Simplify right side
    4,266.33x = 19,259,638.44
  5. Step 5: Solve for x
    x = 19,259,638.44/4,266.33
  6. Step 6: Final answer
    x = 4,514.33

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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.