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Finding the Fourth Proportional to 3,542.96, 5,315.25 and 1,694.54

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Solution

The fourth proportional to 3,542.96, 5,315.25 and 1,694.54 is: 2,542.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.96 : 5,315.25 = 1,694.54 : x
  2. Step 2: Convert to fraction form
    3,542.96/5,315.25 = 1,694.54/x
  3. Step 3: Cross multiply
    3,542.96x = 5,315.25 × 1,694.54
  4. Step 4: Simplify right side
    3,542.96x = 9,006,903.74
  5. Step 5: Solve for x
    x = 9,006,903.74/3,542.96
  6. Step 6: Final answer
    x = 2,542.20

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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.