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Finding the Fourth Proportional to 3,695.82, 5,541.83 and 1,229.97

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Solution

The fourth proportional to 3,695.82, 5,541.83 and 1,229.97 is: 1,844.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.82 : 5,541.83 = 1,229.97 : x
  2. Step 2: Convert to fraction form
    3,695.82/5,541.83 = 1,229.97/x
  3. Step 3: Cross multiply
    3,695.82x = 5,541.83 × 1,229.97
  4. Step 4: Simplify right side
    3,695.82x = 6,816,284.65
  5. Step 5: Solve for x
    x = 6,816,284.65/3,695.82
  6. Step 6: Final answer
    x = 1,844.32

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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.