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Finding the Fourth Proportional to 3,428.72, 5,142.84 and 963.44

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Solution

The fourth proportional to 3,428.72, 5,142.84 and 963.44 is: 1,445.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.72 : 5,142.84 = 963.44 : x
  2. Step 2: Convert to fraction form
    3,428.72/5,142.84 = 963.44/x
  3. Step 3: Cross multiply
    3,428.72x = 5,142.84 × 963.44
  4. Step 4: Simplify right side
    3,428.72x = 4,954,817.77
  5. Step 5: Solve for x
    x = 4,954,817.77/3,428.72
  6. Step 6: Final answer
    x = 1,445.09

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Why These Related Problems?

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