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Finding the Fourth Proportional to 5,692.74, 7,855.68 and 3,175.11

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Solution

The fourth proportional to 5,692.74, 7,855.68 and 3,175.11 is: 4,381.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.74 : 7,855.68 = 3,175.11 : x
  2. Step 2: Convert to fraction form
    5,692.74/7,855.68 = 3,175.11/x
  3. Step 3: Cross multiply
    5,692.74x = 7,855.68 × 3,175.11
  4. Step 4: Simplify right side
    5,692.74x = 24,942,648.12
  5. Step 5: Solve for x
    x = 24,942,648.12/5,692.74
  6. Step 6: Final answer
    x = 4,381.48

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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.