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Finding the Fourth Proportional to 3,699.68, 5,550.62 and 1,967

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Solution

The fourth proportional to 3,699.68, 5,550.62 and 1,967 is: 2,951.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.68 : 5,550.62 = 1,967 : x
  2. Step 2: Convert to fraction form
    3,699.68/5,550.62 = 1,967/x
  3. Step 3: Cross multiply
    3,699.68x = 5,550.62 × 1,967
  4. Step 4: Simplify right side
    3,699.68x = 10,918,069.54
  5. Step 5: Solve for x
    x = 10,918,069.54/3,699.68
  6. Step 6: Final answer
    x = 2,951.08

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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.