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Finding the Fourth Proportional to 3,863.80, 5,332.62 and 3,273.40

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Solution

The fourth proportional to 3,863.80, 5,332.62 and 3,273.40 is: 4,517.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.80 : 5,332.62 = 3,273.40 : x
  2. Step 2: Convert to fraction form
    3,863.80/5,332.62 = 3,273.40/x
  3. Step 3: Cross multiply
    3,863.80x = 5,332.62 × 3,273.40
  4. Step 4: Simplify right side
    3,863.80x = 17,455,798.31
  5. Step 5: Solve for x
    x = 17,455,798.31/3,863.80
  6. Step 6: Final answer
    x = 4,517.78

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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.