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Finding the Fourth Proportional to 5,692.96, 8,528.46 and 3,220.21

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Solution

The fourth proportional to 5,692.96, 8,528.46 and 3,220.21 is: 4,824.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.96 : 8,528.46 = 3,220.21 : x
  2. Step 2: Convert to fraction form
    5,692.96/8,528.46 = 3,220.21/x
  3. Step 3: Cross multiply
    5,692.96x = 8,528.46 × 3,220.21
  4. Step 4: Simplify right side
    5,692.96x = 27,463,432.18
  5. Step 5: Solve for x
    x = 27,463,432.18/5,692.96
  6. Step 6: Final answer
    x = 4,824.10

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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.