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Finding the Fourth Proportional to 5,692.74, 8,542.95 and 1,995

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Solution

The fourth proportional to 5,692.74, 8,542.95 and 1,995 is: 2,993.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.74 : 8,542.95 = 1,995 : x
  2. Step 2: Convert to fraction form
    5,692.74/8,542.95 = 1,995/x
  3. Step 3: Cross multiply
    5,692.74x = 8,542.95 × 1,995
  4. Step 4: Simplify right side
    5,692.74x = 17,043,175.28
  5. Step 5: Solve for x
    x = 17,043,175.28/5,692.74
  6. Step 6: Final answer
    x = 2,993.84

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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.