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Finding the Fourth Proportional to 4,664.97, 6,438.54 and 2,675.55

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Solution

The fourth proportional to 4,664.97, 6,438.54 and 2,675.55 is: 3,692.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,664.97 : 6,438.54 = 2,675.55 : x
  2. Step 2: Convert to fraction form
    4,664.97/6,438.54 = 2,675.55/x
  3. Step 3: Cross multiply
    4,664.97x = 6,438.54 × 2,675.55
  4. Step 4: Simplify right side
    4,664.97x = 17,226,635.70
  5. Step 5: Solve for x
    x = 17,226,635.70/4,664.97
  6. Step 6: Final answer
    x = 3,692.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.