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Finding the Fourth Proportional to 3,629.83, 5,447.17 and 1,550.31

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Solution

The fourth proportional to 3,629.83, 5,447.17 and 1,550.31 is: 2,326.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,629.83 : 5,447.17 = 1,550.31 : x
  2. Step 2: Convert to fraction form
    3,629.83/5,447.17 = 1,550.31/x
  3. Step 3: Cross multiply
    3,629.83x = 5,447.17 × 1,550.31
  4. Step 4: Simplify right side
    3,629.83x = 8,444,802.12
  5. Step 5: Solve for x
    x = 8,444,802.12/3,629.83
  6. Step 6: Final answer
    x = 2,326.50

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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.