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Finding the Fourth Proportional to 5,692.13, 7,855.13 and 3,208.13

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Solution

The fourth proportional to 5,692.13, 7,855.13 and 3,208.13 is: 4,427.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.13 : 7,855.13 = 3,208.13 : x
  2. Step 2: Convert to fraction form
    5,692.13/7,855.13 = 3,208.13/x
  3. Step 3: Cross multiply
    5,692.13x = 7,855.13 × 3,208.13
  4. Step 4: Simplify right side
    5,692.13x = 25,200,246.95
  5. Step 5: Solve for x
    x = 25,200,246.95/5,692.13
  6. Step 6: Final answer
    x = 4,427.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.