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Finding the Fourth Proportional to 3,380.64, 4,667.34 and 3,171.48

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Solution

The fourth proportional to 3,380.64, 4,667.34 and 3,171.48 is: 4,378.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380.64 : 4,667.34 = 3,171.48 : x
  2. Step 2: Convert to fraction form
    3,380.64/4,667.34 = 3,171.48/x
  3. Step 3: Cross multiply
    3,380.64x = 4,667.34 × 3,171.48
  4. Step 4: Simplify right side
    3,380.64x = 14,802,375.46
  5. Step 5: Solve for x
    x = 14,802,375.46/3,380.64
  6. Step 6: Final answer
    x = 4,378.57

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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.