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Finding the Fourth Proportional to 6,553.42, 9,819.18 and 2,850.10

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Solution

The fourth proportional to 6,553.42, 9,819.18 and 2,850.10 is: 4,270.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553.42 : 9,819.18 = 2,850.10 : x
  2. Step 2: Convert to fraction form
    6,553.42/9,819.18 = 2,850.10/x
  3. Step 3: Cross multiply
    6,553.42x = 9,819.18 × 2,850.10
  4. Step 4: Simplify right side
    6,553.42x = 27,985,644.92
  5. Step 5: Solve for x
    x = 27,985,644.92/6,553.42
  6. Step 6: Final answer
    x = 4,270.39

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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.