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Finding the Fourth Proportional to 5,936.76, 8,191.82 and 3,284.18

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Solution

The fourth proportional to 5,936.76, 8,191.82 and 3,284.18 is: 4,531.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,936.76 : 8,191.82 = 3,284.18 : x
  2. Step 2: Convert to fraction form
    5,936.76/8,191.82 = 3,284.18/x
  3. Step 3: Cross multiply
    5,936.76x = 8,191.82 × 3,284.18
  4. Step 4: Simplify right side
    5,936.76x = 26,903,411.41
  5. Step 5: Solve for x
    x = 26,903,411.41/5,936.76
  6. Step 6: Final answer
    x = 4,531.67

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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.