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Finding the Fourth Proportional to 3,903.66, 5,841.81 and 3,201.66

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Solution

The fourth proportional to 3,903.66, 5,841.81 and 3,201.66 is: 4,791.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,903.66 : 5,841.81 = 3,201.66 : x
  2. Step 2: Convert to fraction form
    3,903.66/5,841.81 = 3,201.66/x
  3. Step 3: Cross multiply
    3,903.66x = 5,841.81 × 3,201.66
  4. Step 4: Simplify right side
    3,903.66x = 18,703,489.40
  5. Step 5: Solve for x
    x = 18,703,489.40/3,903.66
  6. Step 6: Final answer
    x = 4,791.27

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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.