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Finding the Fourth Proportional to 3,570.57, 5,350.20 and 1,694.31

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Solution

The fourth proportional to 3,570.57, 5,350.20 and 1,694.31 is: 2,538.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,570.57 : 5,350.20 = 1,694.31 : x
  2. Step 2: Convert to fraction form
    3,570.57/5,350.20 = 1,694.31/x
  3. Step 3: Cross multiply
    3,570.57x = 5,350.20 × 1,694.31
  4. Step 4: Simplify right side
    3,570.57x = 9,064,897.36
  5. Step 5: Solve for x
    x = 9,064,897.36/3,570.57
  6. Step 6: Final answer
    x = 2,538.78

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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.