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Finding the Fourth Proportional to 3,703.69, 5,550.05 and 2,057.97

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Solution

The fourth proportional to 3,703.69, 5,550.05 and 2,057.97 is: 3,083.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,703.69 : 5,550.05 = 2,057.97 : x
  2. Step 2: Convert to fraction form
    3,703.69/5,550.05 = 2,057.97/x
  3. Step 3: Cross multiply
    3,703.69x = 5,550.05 × 2,057.97
  4. Step 4: Simplify right side
    3,703.69x = 11,421,862.36
  5. Step 5: Solve for x
    x = 11,421,862.36/3,703.69
  6. Step 6: Final answer
    x = 3,083.91

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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.