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Finding the Fourth Proportional to 3,274.56, 4,920 and 2,905.92

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Solution

The fourth proportional to 3,274.56, 4,920 and 2,905.92 is: 4,366.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.56 : 4,920 = 2,905.92 : x
  2. Step 2: Convert to fraction form
    3,274.56/4,920 = 2,905.92/x
  3. Step 3: Cross multiply
    3,274.56x = 4,920 × 2,905.92
  4. Step 4: Simplify right side
    3,274.56x = 14,297,126.40
  5. Step 5: Solve for x
    x = 14,297,126.40/3,274.56
  6. Step 6: Final answer
    x = 4,366.12

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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.