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Finding the Fourth Proportional to 5,204.96, 7,795.44 and 3,008.24

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Solution

The fourth proportional to 5,204.96, 7,795.44 and 3,008.24 is: 4,505.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.96 : 7,795.44 = 3,008.24 : x
  2. Step 2: Convert to fraction form
    5,204.96/7,795.44 = 3,008.24/x
  3. Step 3: Cross multiply
    5,204.96x = 7,795.44 × 3,008.24
  4. Step 4: Simplify right side
    5,204.96x = 23,450,554.43
  5. Step 5: Solve for x
    x = 23,450,554.43/5,204.96
  6. Step 6: Final answer
    x = 4,505.42

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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.