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Finding the Fourth Proportional to 5,401.50, 8,103.69 and 2,665.50

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Solution

The fourth proportional to 5,401.50, 8,103.69 and 2,665.50 is: 3,998.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,401.50 : 8,103.69 = 2,665.50 : x
  2. Step 2: Convert to fraction form
    5,401.50/8,103.69 = 2,665.50/x
  3. Step 3: Cross multiply
    5,401.50x = 8,103.69 × 2,665.50
  4. Step 4: Simplify right side
    5,401.50x = 21,600,385.70
  5. Step 5: Solve for x
    x = 21,600,385.70/5,401.50
  6. Step 6: Final answer
    x = 3,998.96

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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.