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Finding the Fourth Proportional to 4,692.15, 7,035.63 and 3,213.07

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Solution

The fourth proportional to 4,692.15, 7,035.63 and 3,213.07 is: 4,817.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.15 : 7,035.63 = 3,213.07 : x
  2. Step 2: Convert to fraction form
    4,692.15/7,035.63 = 3,213.07/x
  3. Step 3: Cross multiply
    4,692.15x = 7,035.63 × 3,213.07
  4. Step 4: Simplify right side
    4,692.15x = 22,605,969.16
  5. Step 5: Solve for x
    x = 22,605,969.16/4,692.15
  6. Step 6: Final answer
    x = 4,817.82

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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.