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Finding the Fourth Proportional to 3,980.54, 5,497.15 and 3,279.34

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Solution

The fourth proportional to 3,980.54, 5,497.15 and 3,279.34 is: 4,528.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.54 : 5,497.15 = 3,279.34 : x
  2. Step 2: Convert to fraction form
    3,980.54/5,497.15 = 3,279.34/x
  3. Step 3: Cross multiply
    3,980.54x = 5,497.15 × 3,279.34
  4. Step 4: Simplify right side
    3,980.54x = 18,027,014.24
  5. Step 5: Solve for x
    x = 18,027,014.24/3,980.54
  6. Step 6: Final answer
    x = 4,528.78

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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.