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Finding the Fourth Proportional to 3,847.40, 5,304.62 and 3,209.63

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Solution

The fourth proportional to 3,847.40, 5,304.62 and 3,209.63 is: 4,425.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.40 : 5,304.62 = 3,209.63 : x
  2. Step 2: Convert to fraction form
    3,847.40/5,304.62 = 3,209.63/x
  3. Step 3: Cross multiply
    3,847.40x = 5,304.62 × 3,209.63
  4. Step 4: Simplify right side
    3,847.40x = 17,025,824.92
  5. Step 5: Solve for x
    x = 17,025,824.92/3,847.40
  6. Step 6: Final answer
    x = 4,425.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.