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Finding the Fourth Proportional to 5,692.84, 7,855.81 and 3,175.16

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Solution

The fourth proportional to 5,692.84, 7,855.81 and 3,175.16 is: 4,381.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.84 : 7,855.81 = 3,175.16 : x
  2. Step 2: Convert to fraction form
    5,692.84/7,855.81 = 3,175.16/x
  3. Step 3: Cross multiply
    5,692.84x = 7,855.81 × 3,175.16
  4. Step 4: Simplify right side
    5,692.84x = 24,943,406.46
  5. Step 5: Solve for x
    x = 24,943,406.46/5,692.84
  6. Step 6: Final answer
    x = 4,381.54

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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.