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Finding the Fourth Proportional to 3,173.64, 4,375.38 and 2,178.54

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Solution

The fourth proportional to 3,173.64, 4,375.38 and 2,178.54 is: 3,003.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,173.64 : 4,375.38 = 2,178.54 : x
  2. Step 2: Convert to fraction form
    3,173.64/4,375.38 = 2,178.54/x
  3. Step 3: Cross multiply
    3,173.64x = 4,375.38 × 2,178.54
  4. Step 4: Simplify right side
    3,173.64x = 9,531,940.35
  5. Step 5: Solve for x
    x = 9,531,940.35/3,173.64
  6. Step 6: Final answer
    x = 3,003.47

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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.