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Finding the Fourth Proportional to 5,935.65, 8,191.08 and 3,283.17

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Solution

The fourth proportional to 5,935.65, 8,191.08 and 3,283.17 is: 4,530.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,935.65 : 8,191.08 = 3,283.17 : x
  2. Step 2: Convert to fraction form
    5,935.65/8,191.08 = 3,283.17/x
  3. Step 3: Cross multiply
    5,935.65x = 8,191.08 × 3,283.17
  4. Step 4: Simplify right side
    5,935.65x = 26,892,708.12
  5. Step 5: Solve for x
    x = 26,892,708.12/5,935.65
  6. Step 6: Final answer
    x = 4,530.71

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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.