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Finding the Fourth Proportional to 3,587.82, 5,383.78 and 1,944.49

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Solution

The fourth proportional to 3,587.82, 5,383.78 and 1,944.49 is: 2,917.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,587.82 : 5,383.78 = 1,944.49 : x
  2. Step 2: Convert to fraction form
    3,587.82/5,383.78 = 1,944.49/x
  3. Step 3: Cross multiply
    3,587.82x = 5,383.78 × 1,944.49
  4. Step 4: Simplify right side
    3,587.82x = 10,468,723.59
  5. Step 5: Solve for x
    x = 10,468,723.59/3,587.82
  6. Step 6: Final answer
    x = 2,917.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.