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Finding the Fourth Proportional to 5,794, 8,692.08 and 2,716

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Solution

The fourth proportional to 5,794, 8,692.08 and 2,716 is: 4,074.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,794 : 8,692.08 = 2,716 : x
  2. Step 2: Convert to fraction form
    5,794/8,692.08 = 2,716/x
  3. Step 3: Cross multiply
    5,794x = 8,692.08 × 2,716
  4. Step 4: Simplify right side
    5,794x = 23,607,689.28
  5. Step 5: Solve for x
    x = 23,607,689.28/5,794
  6. Step 6: Final answer
    x = 4,074.51

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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.