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Finding the Fourth Proportional to 3,795.96, 5,694.48 and 1,605.24

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Solution

The fourth proportional to 3,795.96, 5,694.48 and 1,605.24 is: 2,408.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,795.96 : 5,694.48 = 1,605.24 : x
  2. Step 2: Convert to fraction form
    3,795.96/5,694.48 = 1,605.24/x
  3. Step 3: Cross multiply
    3,795.96x = 5,694.48 × 1,605.24
  4. Step 4: Simplify right side
    3,795.96x = 9,141,007.08
  5. Step 5: Solve for x
    x = 9,141,007.08/3,795.96
  6. Step 6: Final answer
    x = 2,408.09

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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.