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Finding the Fourth Proportional to 3,694.56, 5,542.14 and 1,097.50

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Solution

The fourth proportional to 3,694.56, 5,542.14 and 1,097.50 is: 1,646.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.56 : 5,542.14 = 1,097.50 : x
  2. Step 2: Convert to fraction form
    3,694.56/5,542.14 = 1,097.50/x
  3. Step 3: Cross multiply
    3,694.56x = 5,542.14 × 1,097.50
  4. Step 4: Simplify right side
    3,694.56x = 6,082,498.65
  5. Step 5: Solve for x
    x = 6,082,498.65/3,694.56
  6. Step 6: Final answer
    x = 1,646.34

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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.