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Finding the Fourth Proportional to 3,694.93, 5,543.29 and 1,097.87

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Solution

The fourth proportional to 3,694.93, 5,543.29 and 1,097.87 is: 1,647.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.93 : 5,543.29 = 1,097.87 : x
  2. Step 2: Convert to fraction form
    3,694.93/5,543.29 = 1,097.87/x
  3. Step 3: Cross multiply
    3,694.93x = 5,543.29 × 1,097.87
  4. Step 4: Simplify right side
    3,694.93x = 6,085,785.45
  5. Step 5: Solve for x
    x = 6,085,785.45/3,694.93
  6. Step 6: Final answer
    x = 1,647.06

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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.