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Finding the Fourth Proportional to 5,794.94, 8,692.39 and 2,097.16

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Solution

The fourth proportional to 5,794.94, 8,692.39 and 2,097.16 is: 3,145.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,794.94 : 8,692.39 = 2,097.16 : x
  2. Step 2: Convert to fraction form
    5,794.94/8,692.39 = 2,097.16/x
  3. Step 3: Cross multiply
    5,794.94x = 8,692.39 × 2,097.16
  4. Step 4: Simplify right side
    5,794.94x = 18,229,305.64
  5. Step 5: Solve for x
    x = 18,229,305.64/5,794.94
  6. Step 6: Final answer
    x = 3,145.73

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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.