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Finding the Fourth Proportional to 3,672.25, 5,508.38 and 936.25

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Solution

The fourth proportional to 3,672.25, 5,508.38 and 936.25 is: 1,404.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,672.25 : 5,508.38 = 936.25 : x
  2. Step 2: Convert to fraction form
    3,672.25/5,508.38 = 936.25/x
  3. Step 3: Cross multiply
    3,672.25x = 5,508.38 × 936.25
  4. Step 4: Simplify right side
    3,672.25x = 5,157,216.09
  5. Step 5: Solve for x
    x = 5,157,216.09/3,672.25
  6. Step 6: Final answer
    x = 1,404.38

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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.