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Finding the Fourth Proportional to 3,775.96, 5,665.44 and 1,694.52

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Solution

The fourth proportional to 3,775.96, 5,665.44 and 1,694.52 is: 2,542.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.96 : 5,665.44 = 1,694.52 : x
  2. Step 2: Convert to fraction form
    3,775.96/5,665.44 = 1,694.52/x
  3. Step 3: Cross multiply
    3,775.96x = 5,665.44 × 1,694.52
  4. Step 4: Simplify right side
    3,775.96x = 9,600,201.39
  5. Step 5: Solve for x
    x = 9,600,201.39/3,775.96
  6. Step 6: Final answer
    x = 2,542.45

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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.