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Finding the Fourth Proportional to 5,692.22, 8,534.64 and 3,932.30

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Solution

The fourth proportional to 5,692.22, 8,534.64 and 3,932.30 is: 5,895.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.22 : 8,534.64 = 3,932.30 : x
  2. Step 2: Convert to fraction form
    5,692.22/8,534.64 = 3,932.30/x
  3. Step 3: Cross multiply
    5,692.22x = 8,534.64 × 3,932.30
  4. Step 4: Simplify right side
    5,692.22x = 33,560,764.87
  5. Step 5: Solve for x
    x = 33,560,764.87/5,692.22
  6. Step 6: Final answer
    x = 5,895.90

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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.