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Finding the Fourth Proportional to 3,694.82, 5,543.16 and 1,097.76

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Solution

The fourth proportional to 3,694.82, 5,543.16 and 1,097.76 is: 1,646.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.82 : 5,543.16 = 1,097.76 : x
  2. Step 2: Convert to fraction form
    3,694.82/5,543.16 = 1,097.76/x
  3. Step 3: Cross multiply
    3,694.82x = 5,543.16 × 1,097.76
  4. Step 4: Simplify right side
    3,694.82x = 6,085,059.32
  5. Step 5: Solve for x
    x = 6,085,059.32/3,694.82
  6. Step 6: Final answer
    x = 1,646.92

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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.