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Finding the Fourth Proportional to 3,644.32, 5,029.44 and 2,072.32

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Solution

The fourth proportional to 3,644.32, 5,029.44 and 2,072.32 is: 2,859.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.32 : 5,029.44 = 2,072.32 : x
  2. Step 2: Convert to fraction form
    3,644.32/5,029.44 = 2,072.32/x
  3. Step 3: Cross multiply
    3,644.32x = 5,029.44 × 2,072.32
  4. Step 4: Simplify right side
    3,644.32x = 10,422,609.10
  5. Step 5: Solve for x
    x = 10,422,609.10/3,644.32
  6. Step 6: Final answer
    x = 2,859.96

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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.