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Finding the Fourth Proportional to 4,692.73, 7,036.82 and 1,918.30

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Solution

The fourth proportional to 4,692.73, 7,036.82 and 1,918.30 is: 2,876.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.73 : 7,036.82 = 1,918.30 : x
  2. Step 2: Convert to fraction form
    4,692.73/7,036.82 = 1,918.30/x
  3. Step 3: Cross multiply
    4,692.73x = 7,036.82 × 1,918.30
  4. Step 4: Simplify right side
    4,692.73x = 13,498,687.03
  5. Step 5: Solve for x
    x = 13,498,687.03/4,692.73
  6. Step 6: Final answer
    x = 2,876.51

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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.