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Finding the Fourth Proportional to 5,846.82, 8,068.50 and 3,194.22

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Solution

The fourth proportional to 5,846.82, 8,068.50 and 3,194.22 is: 4,407.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,846.82 : 8,068.50 = 3,194.22 : x
  2. Step 2: Convert to fraction form
    5,846.82/8,068.50 = 3,194.22/x
  3. Step 3: Cross multiply
    5,846.82x = 8,068.50 × 3,194.22
  4. Step 4: Simplify right side
    5,846.82x = 25,772,564.07
  5. Step 5: Solve for x
    x = 25,772,564.07/5,846.82
  6. Step 6: Final answer
    x = 4,407.96

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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.