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Finding the Fourth Proportional to 5,935.82, 8,194.05 and 3,546.63

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Solution

The fourth proportional to 5,935.82, 8,194.05 and 3,546.63 is: 4,895.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,935.82 : 8,194.05 = 3,546.63 : x
  2. Step 2: Convert to fraction form
    5,935.82/8,194.05 = 3,546.63/x
  3. Step 3: Cross multiply
    5,935.82x = 8,194.05 × 3,546.63
  4. Step 4: Simplify right side
    5,935.82x = 29,061,263.55
  5. Step 5: Solve for x
    x = 29,061,263.55/5,935.82
  6. Step 6: Final answer
    x = 4,895.92

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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.