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Finding the Fourth Proportional to 3,272.80, 4,513.08 and 3,201.28

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Solution

The fourth proportional to 3,272.80, 4,513.08 and 3,201.28 is: 4,414.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,272.80 : 4,513.08 = 3,201.28 : x
  2. Step 2: Convert to fraction form
    3,272.80/4,513.08 = 3,201.28/x
  3. Step 3: Cross multiply
    3,272.80x = 4,513.08 × 3,201.28
  4. Step 4: Simplify right side
    3,272.80x = 14,447,632.74
  5. Step 5: Solve for x
    x = 14,447,632.74/3,272.80
  6. Step 6: Final answer
    x = 4,414.46

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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.