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Finding the Fourth Proportional to 4,857.46, 7,272.34 and 3,692.20

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Solution

The fourth proportional to 4,857.46, 7,272.34 and 3,692.20 is: 5,527.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,857.46 : 7,272.34 = 3,692.20 : x
  2. Step 2: Convert to fraction form
    4,857.46/7,272.34 = 3,692.20/x
  3. Step 3: Cross multiply
    4,857.46x = 7,272.34 × 3,692.20
  4. Step 4: Simplify right side
    4,857.46x = 26,850,933.75
  5. Step 5: Solve for x
    x = 26,850,933.75/4,857.46
  6. Step 6: Final answer
    x = 5,527.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.