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Finding the Fourth Proportional to 4,125, 5,692.50 and 2,469

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Solution

The fourth proportional to 4,125, 5,692.50 and 2,469 is: 3,407.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,125 : 5,692.50 = 2,469 : x
  2. Step 2: Convert to fraction form
    4,125/5,692.50 = 2,469/x
  3. Step 3: Cross multiply
    4,125x = 5,692.50 × 2,469
  4. Step 4: Simplify right side
    4,125x = 14,054,782.50
  5. Step 5: Solve for x
    x = 14,054,782.50/4,125
  6. Step 6: Final answer
    x = 3,407.22

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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.