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Finding the Fourth Proportional to 5,935.82, 8,191.05 and 3,283.16

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Solution

The fourth proportional to 5,935.82, 8,191.05 and 3,283.16 is: 4,530.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,935.82 : 8,191.05 = 3,283.16 : x
  2. Step 2: Convert to fraction form
    5,935.82/8,191.05 = 3,283.16/x
  3. Step 3: Cross multiply
    5,935.82x = 8,191.05 × 3,283.16
  4. Step 4: Simplify right side
    5,935.82x = 26,892,527.72
  5. Step 5: Solve for x
    x = 26,892,527.72/5,935.82
  6. Step 6: Final answer
    x = 4,530.55

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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.