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Finding the Fourth Proportional to 5,414.16, 8,114.69 and 2,636.67

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Solution

The fourth proportional to 5,414.16, 8,114.69 and 2,636.67 is: 3,951.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414.16 : 8,114.69 = 2,636.67 : x
  2. Step 2: Convert to fraction form
    5,414.16/8,114.69 = 2,636.67/x
  3. Step 3: Cross multiply
    5,414.16x = 8,114.69 × 2,636.67
  4. Step 4: Simplify right side
    5,414.16x = 21,395,725.70
  5. Step 5: Solve for x
    x = 21,395,725.70/5,414.16
  6. Step 6: Final answer
    x = 3,951.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.