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Finding the Fourth Proportional to 3,694.96, 5,526.24 and 3,215.44

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Solution

The fourth proportional to 3,694.96, 5,526.24 and 3,215.44 is: 4,809.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.96 : 5,526.24 = 3,215.44 : x
  2. Step 2: Convert to fraction form
    3,694.96/5,526.24 = 3,215.44/x
  3. Step 3: Cross multiply
    3,694.96x = 5,526.24 × 3,215.44
  4. Step 4: Simplify right side
    3,694.96x = 17,769,293.15
  5. Step 5: Solve for x
    x = 17,769,293.15/3,694.96
  6. Step 6: Final answer
    x = 4,809.06

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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.