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Finding the Fourth Proportional to 3,186.72, 4,397.72 and 1,789.48

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Solution

The fourth proportional to 3,186.72, 4,397.72 and 1,789.48 is: 2,469.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.72 : 4,397.72 = 1,789.48 : x
  2. Step 2: Convert to fraction form
    3,186.72/4,397.72 = 1,789.48/x
  3. Step 3: Cross multiply
    3,186.72x = 4,397.72 × 1,789.48
  4. Step 4: Simplify right side
    3,186.72x = 7,869,631.99
  5. Step 5: Solve for x
    x = 7,869,631.99/3,186.72
  6. Step 6: Final answer
    x = 2,469.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.