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Finding the Fourth Proportional to 4,722.26, 7,083.03 and 1,644.26

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Solution

The fourth proportional to 4,722.26, 7,083.03 and 1,644.26 is: 2,466.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,722.26 : 7,083.03 = 1,644.26 : x
  2. Step 2: Convert to fraction form
    4,722.26/7,083.03 = 1,644.26/x
  3. Step 3: Cross multiply
    4,722.26x = 7,083.03 × 1,644.26
  4. Step 4: Simplify right side
    4,722.26x = 11,646,342.91
  5. Step 5: Solve for x
    x = 11,646,342.91/4,722.26
  6. Step 6: Final answer
    x = 2,466.26

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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.