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Finding the Fourth Proportional to 3,450.74, 5,175.20 and 1,370.66

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Solution

The fourth proportional to 3,450.74, 5,175.20 and 1,370.66 is: 2,055.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,450.74 : 5,175.20 = 1,370.66 : x
  2. Step 2: Convert to fraction form
    3,450.74/5,175.20 = 1,370.66/x
  3. Step 3: Cross multiply
    3,450.74x = 5,175.20 × 1,370.66
  4. Step 4: Simplify right side
    3,450.74x = 7,093,456.00
  5. Step 5: Solve for x
    x = 7,093,456.00/3,450.74
  6. Step 6: Final answer
    x = 2,055.63

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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.