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Finding the Fourth Proportional to 3,474.39, 5,175.40 and 3,289.71

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Solution

The fourth proportional to 3,474.39, 5,175.40 and 3,289.71 is: 4,900.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.39 : 5,175.40 = 3,289.71 : x
  2. Step 2: Convert to fraction form
    3,474.39/5,175.40 = 3,289.71/x
  3. Step 3: Cross multiply
    3,474.39x = 5,175.40 × 3,289.71
  4. Step 4: Simplify right side
    3,474.39x = 17,025,556.91
  5. Step 5: Solve for x
    x = 17,025,556.91/3,474.39
  6. Step 6: Final answer
    x = 4,900.30

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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.