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Finding the Fourth Proportional to 3,542.60, 5,313.84 and 1,694.48

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Solution

The fourth proportional to 3,542.60, 5,313.84 and 1,694.48 is: 2,541.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.60 : 5,313.84 = 1,694.48 : x
  2. Step 2: Convert to fraction form
    3,542.60/5,313.84 = 1,694.48/x
  3. Step 3: Cross multiply
    3,542.60x = 5,313.84 × 1,694.48
  4. Step 4: Simplify right side
    3,542.60x = 9,004,195.60
  5. Step 5: Solve for x
    x = 9,004,195.60/3,542.60
  6. Step 6: Final answer
    x = 2,541.69

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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.