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Finding the Fourth Proportional to 3,274.83, 4,912.59 and 1,052.91

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Solution

The fourth proportional to 3,274.83, 4,912.59 and 1,052.91 is: 1,579.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.83 : 4,912.59 = 1,052.91 : x
  2. Step 2: Convert to fraction form
    3,274.83/4,912.59 = 1,052.91/x
  3. Step 3: Cross multiply
    3,274.83x = 4,912.59 × 1,052.91
  4. Step 4: Simplify right side
    3,274.83x = 5,172,515.14
  5. Step 5: Solve for x
    x = 5,172,515.14/3,274.83
  6. Step 6: Final answer
    x = 1,579.48

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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.