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Finding the Fourth Proportional to 3,794.68, 5,694.56 and 1,329.50

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Solution

The fourth proportional to 3,794.68, 5,694.56 and 1,329.50 is: 1,995.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.68 : 5,694.56 = 1,329.50 : x
  2. Step 2: Convert to fraction form
    3,794.68/5,694.56 = 1,329.50/x
  3. Step 3: Cross multiply
    3,794.68x = 5,694.56 × 1,329.50
  4. Step 4: Simplify right side
    3,794.68x = 7,570,917.52
  5. Step 5: Solve for x
    x = 7,570,917.52/3,794.68
  6. Step 6: Final answer
    x = 1,995.14

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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.