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Finding the Fourth Proportional to 3,798.57, 5,694.39 and 1,332.05

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Solution

The fourth proportional to 3,798.57, 5,694.39 and 1,332.05 is: 1,996.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.57 : 5,694.39 = 1,332.05 : x
  2. Step 2: Convert to fraction form
    3,798.57/5,694.39 = 1,332.05/x
  3. Step 3: Cross multiply
    3,798.57x = 5,694.39 × 1,332.05
  4. Step 4: Simplify right side
    3,798.57x = 7,585,181.85
  5. Step 5: Solve for x
    x = 7,585,181.85/3,798.57
  6. Step 6: Final answer
    x = 1,996.85

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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.