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Finding the Fourth Proportional to 3,680.29, 5,067.25 and 3,248.70

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Solution

The fourth proportional to 3,680.29, 5,067.25 and 3,248.70 is: 4,473.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,680.29 : 5,067.25 = 3,248.70 : x
  2. Step 2: Convert to fraction form
    3,680.29/5,067.25 = 3,248.70/x
  3. Step 3: Cross multiply
    3,680.29x = 5,067.25 × 3,248.70
  4. Step 4: Simplify right side
    3,680.29x = 16,461,975.08
  5. Step 5: Solve for x
    x = 16,461,975.08/3,680.29
  6. Step 6: Final answer
    x = 4,473.01

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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.