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Finding the Fourth Proportional to 3,644.26, 5,029.08 and 2,072.32

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Solution

The fourth proportional to 3,644.26, 5,029.08 and 2,072.32 is: 2,859.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.26 : 5,029.08 = 2,072.32 : x
  2. Step 2: Convert to fraction form
    3,644.26/5,029.08 = 2,072.32/x
  3. Step 3: Cross multiply
    3,644.26x = 5,029.08 × 2,072.32
  4. Step 4: Simplify right side
    3,644.26x = 10,421,863.07
  5. Step 5: Solve for x
    x = 10,421,863.07/3,644.26
  6. Step 6: Final answer
    x = 2,859.80

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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.