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Finding the Fourth Proportional to 3,769.88, 5,654.75 and 996.48

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Solution

The fourth proportional to 3,769.88, 5,654.75 and 996.48 is: 1,494.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.88 : 5,654.75 = 996.48 : x
  2. Step 2: Convert to fraction form
    3,769.88/5,654.75 = 996.48/x
  3. Step 3: Cross multiply
    3,769.88x = 5,654.75 × 996.48
  4. Step 4: Simplify right side
    3,769.88x = 5,634,840.30
  5. Step 5: Solve for x
    x = 5,634,840.30/3,769.88
  6. Step 6: Final answer
    x = 1,494.70

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1.5x scale

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.