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Finding the Fourth Proportional to 3,694.83, 5,542.11 and 1,097.70

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Solution

The fourth proportional to 3,694.83, 5,542.11 and 1,097.70 is: 1,646.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.83 : 5,542.11 = 1,097.70 : x
  2. Step 2: Convert to fraction form
    3,694.83/5,542.11 = 1,097.70/x
  3. Step 3: Cross multiply
    3,694.83x = 5,542.11 × 1,097.70
  4. Step 4: Simplify right side
    3,694.83x = 6,083,574.15
  5. Step 5: Solve for x
    x = 6,083,574.15/3,694.83
  6. Step 6: Final answer
    x = 1,646.51

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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.