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Finding the Fourth Proportional to 5,101.02, 7,650.99 and 1,638

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Solution

The fourth proportional to 5,101.02, 7,650.99 and 1,638 is: 2,456.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101.02 : 7,650.99 = 1,638 : x
  2. Step 2: Convert to fraction form
    5,101.02/7,650.99 = 1,638/x
  3. Step 3: Cross multiply
    5,101.02x = 7,650.99 × 1,638
  4. Step 4: Simplify right side
    5,101.02x = 12,532,321.62
  5. Step 5: Solve for x
    x = 12,532,321.62/5,101.02
  6. Step 6: Final answer
    x = 2,456.83

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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.