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Finding the Fourth Proportional to 3,429.15, 5,144.04 and 963.96

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Solution

The fourth proportional to 3,429.15, 5,144.04 and 963.96 is: 1,446.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,429.15 : 5,144.04 = 963.96 : x
  2. Step 2: Convert to fraction form
    3,429.15/5,144.04 = 963.96/x
  3. Step 3: Cross multiply
    3,429.15x = 5,144.04 × 963.96
  4. Step 4: Simplify right side
    3,429.15x = 4,958,648.80
  5. Step 5: Solve for x
    x = 4,958,648.80/3,429.15
  6. Step 6: Final answer
    x = 1,446.03

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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.