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Finding the Fourth Proportional to 3,276.34, 4,517.76 and 2,965.30

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Solution

The fourth proportional to 3,276.34, 4,517.76 and 2,965.30 is: 4,088.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,276.34 : 4,517.76 = 2,965.30 : x
  2. Step 2: Convert to fraction form
    3,276.34/4,517.76 = 2,965.30/x
  3. Step 3: Cross multiply
    3,276.34x = 4,517.76 × 2,965.30
  4. Step 4: Simplify right side
    3,276.34x = 13,396,513.73
  5. Step 5: Solve for x
    x = 13,396,513.73/3,276.34
  6. Step 6: Final answer
    x = 4,088.87

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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.