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Finding the Fourth Proportional to 3,450.72, 5,171.46 and 1,970.39

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Solution

The fourth proportional to 3,450.72, 5,171.46 and 1,970.39 is: 2,952.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,450.72 : 5,171.46 = 1,970.39 : x
  2. Step 2: Convert to fraction form
    3,450.72/5,171.46 = 1,970.39/x
  3. Step 3: Cross multiply
    3,450.72x = 5,171.46 × 1,970.39
  4. Step 4: Simplify right side
    3,450.72x = 10,189,809.69
  5. Step 5: Solve for x
    x = 10,189,809.69/3,450.72
  6. Step 6: Final answer
    x = 2,952.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.