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Finding the Fourth Proportional to 3,663.05, 5,054.69 and 2,170.71

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Solution

The fourth proportional to 3,663.05, 5,054.69 and 2,170.71 is: 2,995.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.05 : 5,054.69 = 2,170.71 : x
  2. Step 2: Convert to fraction form
    3,663.05/5,054.69 = 2,170.71/x
  3. Step 3: Cross multiply
    3,663.05x = 5,054.69 × 2,170.71
  4. Step 4: Simplify right side
    3,663.05x = 10,972,255.28
  5. Step 5: Solve for x
    x = 10,972,255.28/3,663.05
  6. Step 6: Final answer
    x = 2,995.39

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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.