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Finding the Fourth Proportional to 3,550.54, 4,899.81 and 1,978.66

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Solution

The fourth proportional to 3,550.54, 4,899.81 and 1,978.66 is: 2,730.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,550.54 : 4,899.81 = 1,978.66 : x
  2. Step 2: Convert to fraction form
    3,550.54/4,899.81 = 1,978.66/x
  3. Step 3: Cross multiply
    3,550.54x = 4,899.81 × 1,978.66
  4. Step 4: Simplify right side
    3,550.54x = 9,695,058.05
  5. Step 5: Solve for x
    x = 9,695,058.05/3,550.54
  6. Step 6: Final answer
    x = 2,730.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.