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Finding the Fourth Proportional to 5,692.12, 8,540.62 and 1,796.84

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Solution

The fourth proportional to 5,692.12, 8,540.62 and 1,796.84 is: 2,696.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.12 : 8,540.62 = 1,796.84 : x
  2. Step 2: Convert to fraction form
    5,692.12/8,540.62 = 1,796.84/x
  3. Step 3: Cross multiply
    5,692.12x = 8,540.62 × 1,796.84
  4. Step 4: Simplify right side
    5,692.12x = 15,346,127.64
  5. Step 5: Solve for x
    x = 15,346,127.64/5,692.12
  6. Step 6: Final answer
    x = 2,696.03

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1.5x scale

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.