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Finding the Fourth Proportional to 5,100.35, 7,665.12 and 2,505.11

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Solution

The fourth proportional to 5,100.35, 7,665.12 and 2,505.11 is: 3,764.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,100.35 : 7,665.12 = 2,505.11 : x
  2. Step 2: Convert to fraction form
    5,100.35/7,665.12 = 2,505.11/x
  3. Step 3: Cross multiply
    5,100.35x = 7,665.12 × 2,505.11
  4. Step 4: Simplify right side
    5,100.35x = 19,201,930.44
  5. Step 5: Solve for x
    x = 19,201,930.44/5,100.35
  6. Step 6: Final answer
    x = 3,764.83

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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.