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Finding the Fourth Proportional to 5,832.26, 8,046.51 and 4,063.22

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Solution

The fourth proportional to 5,832.26, 8,046.51 and 4,063.22 is: 5,605.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,832.26 : 8,046.51 = 4,063.22 : x
  2. Step 2: Convert to fraction form
    5,832.26/8,046.51 = 4,063.22/x
  3. Step 3: Cross multiply
    5,832.26x = 8,046.51 × 4,063.22
  4. Step 4: Simplify right side
    5,832.26x = 32,694,740.36
  5. Step 5: Solve for x
    x = 32,694,740.36/5,832.26
  6. Step 6: Final answer
    x = 5,605.84

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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.