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Finding the Fourth Proportional to 6,344.51, 8,755.26 and 3,826.62

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Solution

The fourth proportional to 6,344.51, 8,755.26 and 3,826.62 is: 5,280.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,344.51 : 8,755.26 = 3,826.62 : x
  2. Step 2: Convert to fraction form
    6,344.51/8,755.26 = 3,826.62/x
  3. Step 3: Cross multiply
    6,344.51x = 8,755.26 × 3,826.62
  4. Step 4: Simplify right side
    6,344.51x = 33,503,053.02
  5. Step 5: Solve for x
    x = 33,503,053.02/6,344.51
  6. Step 6: Final answer
    x = 5,280.64

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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.