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Finding the Fourth Proportional to 3,694.88, 5,097.48 and 3,678.41

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Solution

The fourth proportional to 3,694.88, 5,097.48 and 3,678.41 is: 5,074.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.88 : 5,097.48 = 3,678.41 : x
  2. Step 2: Convert to fraction form
    3,694.88/5,097.48 = 3,678.41/x
  3. Step 3: Cross multiply
    3,694.88x = 5,097.48 × 3,678.41
  4. Step 4: Simplify right side
    3,694.88x = 18,750,621.41
  5. Step 5: Solve for x
    x = 18,750,621.41/3,694.88
  6. Step 6: Final answer
    x = 5,074.76

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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.