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Finding the Fourth Proportional to 5,105.37, 7,663.42 and 4,524.09

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Solution

The fourth proportional to 5,105.37, 7,663.42 and 4,524.09 is: 6,790.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,105.37 : 7,663.42 = 4,524.09 : x
  2. Step 2: Convert to fraction form
    5,105.37/7,663.42 = 4,524.09/x
  3. Step 3: Cross multiply
    5,105.37x = 7,663.42 × 4,524.09
  4. Step 4: Simplify right side
    5,105.37x = 34,670,036.18
  5. Step 5: Solve for x
    x = 34,670,036.18/5,105.37
  6. Step 6: Final answer
    x = 6,790.90

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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.