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Finding the Fourth Proportional to 3,274.64, 4,914.12 and 1,736.72

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Solution

The fourth proportional to 3,274.64, 4,914.12 and 1,736.72 is: 2,606.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.64 : 4,914.12 = 1,736.72 : x
  2. Step 2: Convert to fraction form
    3,274.64/4,914.12 = 1,736.72/x
  3. Step 3: Cross multiply
    3,274.64x = 4,914.12 × 1,736.72
  4. Step 4: Simplify right side
    3,274.64x = 8,534,450.49
  5. Step 5: Solve for x
    x = 8,534,450.49/3,274.64
  6. Step 6: Final answer
    x = 2,606.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.