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Finding the Fourth Proportional to 3,801.27, 5,650.61 and 3,689.16

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Solution

The fourth proportional to 3,801.27, 5,650.61 and 3,689.16 is: 5,483.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.27 : 5,650.61 = 3,689.16 : x
  2. Step 2: Convert to fraction form
    3,801.27/5,650.61 = 3,689.16/x
  3. Step 3: Cross multiply
    3,801.27x = 5,650.61 × 3,689.16
  4. Step 4: Simplify right side
    3,801.27x = 20,846,004.39
  5. Step 5: Solve for x
    x = 20,846,004.39/3,801.27
  6. Step 6: Final answer
    x = 5,483.96

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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.