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Finding the Fourth Proportional to 3,819.20, 5,701.12 and 3,549.12

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Solution

The fourth proportional to 3,819.20, 5,701.12 and 3,549.12 is: 5,297.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,819.20 : 5,701.12 = 3,549.12 : x
  2. Step 2: Convert to fraction form
    3,819.20/5,701.12 = 3,549.12/x
  3. Step 3: Cross multiply
    3,819.20x = 5,701.12 × 3,549.12
  4. Step 4: Simplify right side
    3,819.20x = 20,233,959.01
  5. Step 5: Solve for x
    x = 20,233,959.01/3,819.20
  6. Step 6: Final answer
    x = 5,297.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.