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Finding the Fourth Proportional to 3,769, 5,654.46 and 1,429.96

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Solution

The fourth proportional to 3,769, 5,654.46 and 1,429.96 is: 2,145.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769 : 5,654.46 = 1,429.96 : x
  2. Step 2: Convert to fraction form
    3,769/5,654.46 = 1,429.96/x
  3. Step 3: Cross multiply
    3,769x = 5,654.46 × 1,429.96
  4. Step 4: Simplify right side
    3,769x = 8,085,651.62
  5. Step 5: Solve for x
    x = 8,085,651.62/3,769
  6. Step 6: Final answer
    x = 2,145.30

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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.