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Finding the Fourth Proportional to 3,774.44, 5,204.57 and 3,272.64

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Solution

The fourth proportional to 3,774.44, 5,204.57 and 3,272.64 is: 4,512.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.44 : 5,204.57 = 3,272.64 : x
  2. Step 2: Convert to fraction form
    3,774.44/5,204.57 = 3,272.64/x
  3. Step 3: Cross multiply
    3,774.44x = 5,204.57 × 3,272.64
  4. Step 4: Simplify right side
    3,774.44x = 17,032,667.60
  5. Step 5: Solve for x
    x = 17,032,667.60/3,774.44
  6. Step 6: Final answer
    x = 4,512.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.