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Finding the Fourth Proportional to 3,792.48, 5,692.76 and 2,152.20

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Solution

The fourth proportional to 3,792.48, 5,692.76 and 2,152.20 is: 3,230.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.48 : 5,692.76 = 2,152.20 : x
  2. Step 2: Convert to fraction form
    3,792.48/5,692.76 = 2,152.20/x
  3. Step 3: Cross multiply
    3,792.48x = 5,692.76 × 2,152.20
  4. Step 4: Simplify right side
    3,792.48x = 12,251,958.07
  5. Step 5: Solve for x
    x = 12,251,958.07/3,792.48
  6. Step 6: Final answer
    x = 3,230.59

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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.