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Finding the Fourth Proportional to 3,694.17, 5,542.29 and 1,504.47

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Solution

The fourth proportional to 3,694.17, 5,542.29 and 1,504.47 is: 2,257.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.17 : 5,542.29 = 1,504.47 : x
  2. Step 2: Convert to fraction form
    3,694.17/5,542.29 = 1,504.47/x
  3. Step 3: Cross multiply
    3,694.17x = 5,542.29 × 1,504.47
  4. Step 4: Simplify right side
    3,694.17x = 8,338,209.04
  5. Step 5: Solve for x
    x = 8,338,209.04/3,694.17
  6. Step 6: Final answer
    x = 2,257.13

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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.