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Finding the Fourth Proportional to 4,692.63, 6,474.69 and 2,703

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Solution

The fourth proportional to 4,692.63, 6,474.69 and 2,703 is: 3,729.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.63 : 6,474.69 = 2,703 : x
  2. Step 2: Convert to fraction form
    4,692.63/6,474.69 = 2,703/x
  3. Step 3: Cross multiply
    4,692.63x = 6,474.69 × 2,703
  4. Step 4: Simplify right side
    4,692.63x = 17,501,087.07
  5. Step 5: Solve for x
    x = 17,501,087.07/4,692.63
  6. Step 6: Final answer
    x = 3,729.48

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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.