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Finding the Fourth Proportional to 4,638.90, 6,964.53 and 2,692.50

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Solution

The fourth proportional to 4,638.90, 6,964.53 and 2,692.50 is: 4,042.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,638.90 : 6,964.53 = 2,692.50 : x
  2. Step 2: Convert to fraction form
    4,638.90/6,964.53 = 2,692.50/x
  3. Step 3: Cross multiply
    4,638.90x = 6,964.53 × 2,692.50
  4. Step 4: Simplify right side
    4,638.90x = 18,751,997.03
  5. Step 5: Solve for x
    x = 18,751,997.03/4,638.90
  6. Step 6: Final answer
    x = 4,042.34

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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.