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Finding the Fourth Proportional to 3,699.62, 5,535.39 and 2,057.48

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Solution

The fourth proportional to 3,699.62, 5,535.39 and 2,057.48 is: 3,078.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.62 : 5,535.39 = 2,057.48 : x
  2. Step 2: Convert to fraction form
    3,699.62/5,535.39 = 2,057.48/x
  3. Step 3: Cross multiply
    3,699.62x = 5,535.39 × 2,057.48
  4. Step 4: Simplify right side
    3,699.62x = 11,388,954.22
  5. Step 5: Solve for x
    x = 11,388,954.22/3,699.62
  6. Step 6: Final answer
    x = 3,078.41

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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.