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Finding the Fourth Proportional to 5,126.84, 7,692.16 and 2,166.04

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Solution

The fourth proportional to 5,126.84, 7,692.16 and 2,166.04 is: 3,249.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,126.84 : 7,692.16 = 2,166.04 : x
  2. Step 2: Convert to fraction form
    5,126.84/7,692.16 = 2,166.04/x
  3. Step 3: Cross multiply
    5,126.84x = 7,692.16 × 2,166.04
  4. Step 4: Simplify right side
    5,126.84x = 16,661,526.25
  5. Step 5: Solve for x
    x = 16,661,526.25/5,126.84
  6. Step 6: Final answer
    x = 3,249.86

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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.