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Finding the Fourth Proportional to 5,935.92, 8,191.47 and 3,283.62

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Solution

The fourth proportional to 5,935.92, 8,191.47 and 3,283.62 is: 4,531.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,935.92 : 8,191.47 = 3,283.62 : x
  2. Step 2: Convert to fraction form
    5,935.92/8,191.47 = 3,283.62/x
  3. Step 3: Cross multiply
    5,935.92x = 8,191.47 × 3,283.62
  4. Step 4: Simplify right side
    5,935.92x = 26,897,674.72
  5. Step 5: Solve for x
    x = 26,897,674.72/5,935.92
  6. Step 6: Final answer
    x = 4,531.34

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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.