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Finding the Fourth Proportional to 5,797.64, 8,694.17 and 2,097.87

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Solution

The fourth proportional to 5,797.64, 8,694.17 and 2,097.87 is: 3,145.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797.64 : 8,694.17 = 2,097.87 : x
  2. Step 2: Convert to fraction form
    5,797.64/8,694.17 = 2,097.87/x
  3. Step 3: Cross multiply
    5,797.64x = 8,694.17 × 2,097.87
  4. Step 4: Simplify right side
    5,797.64x = 18,239,203.19
  5. Step 5: Solve for x
    x = 18,239,203.19/5,797.64
  6. Step 6: Final answer
    x = 3,145.97

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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.