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Finding the Fourth Proportional to 3,694.44, 5,543.10 and 1,641

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Solution

The fourth proportional to 3,694.44, 5,543.10 and 1,641 is: 2,462.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.44 : 5,543.10 = 1,641 : x
  2. Step 2: Convert to fraction form
    3,694.44/5,543.10 = 1,641/x
  3. Step 3: Cross multiply
    3,694.44x = 5,543.10 × 1,641
  4. Step 4: Simplify right side
    3,694.44x = 9,096,227.10
  5. Step 5: Solve for x
    x = 9,096,227.10/3,694.44
  6. Step 6: Final answer
    x = 2,462.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.