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Finding the Fourth Proportional to 3,647.52, 5,467.92 and 1,181.07

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Solution

The fourth proportional to 3,647.52, 5,467.92 and 1,181.07 is: 1,770.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.52 : 5,467.92 = 1,181.07 : x
  2. Step 2: Convert to fraction form
    3,647.52/5,467.92 = 1,181.07/x
  3. Step 3: Cross multiply
    3,647.52x = 5,467.92 × 1,181.07
  4. Step 4: Simplify right side
    3,647.52x = 6,457,996.27
  5. Step 5: Solve for x
    x = 6,457,996.27/3,647.52
  6. Step 6: Final answer
    x = 1,770.52

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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.