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Finding the Fourth Proportional to 3,769, 5,654.69 and 1,690.75

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Solution

The fourth proportional to 3,769, 5,654.69 and 1,690.75 is: 2,536.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769 : 5,654.69 = 1,690.75 : x
  2. Step 2: Convert to fraction form
    3,769/5,654.69 = 1,690.75/x
  3. Step 3: Cross multiply
    3,769x = 5,654.69 × 1,690.75
  4. Step 4: Simplify right side
    3,769x = 9,560,667.12
  5. Step 5: Solve for x
    x = 9,560,667.12/3,769
  6. Step 6: Final answer
    x = 2,536.66

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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.