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Finding the Fourth Proportional to 3,796.25, 5,694.98 and 1,605

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Solution

The fourth proportional to 3,796.25, 5,694.98 and 1,605 is: 2,407.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.25 : 5,694.98 = 1,605 : x
  2. Step 2: Convert to fraction form
    3,796.25/5,694.98 = 1,605/x
  3. Step 3: Cross multiply
    3,796.25x = 5,694.98 × 1,605
  4. Step 4: Simplify right side
    3,796.25x = 9,140,446.91
  5. Step 5: Solve for x
    x = 9,140,446.91/3,796.25
  6. Step 6: Final answer
    x = 2,407.76

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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.