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Finding the Fourth Proportional to 3,641.56, 5,024.82 and 2,069.26

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Solution

The fourth proportional to 3,641.56, 5,024.82 and 2,069.26 is: 2,855.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.56 : 5,024.82 = 2,069.26 : x
  2. Step 2: Convert to fraction form
    3,641.56/5,024.82 = 2,069.26/x
  3. Step 3: Cross multiply
    3,641.56x = 5,024.82 × 2,069.26
  4. Step 4: Simplify right side
    3,641.56x = 10,397,659.03
  5. Step 5: Solve for x
    x = 10,397,659.03/3,641.56
  6. Step 6: Final answer
    x = 2,855.28

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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.