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Finding the Fourth Proportional to 3,673.96, 5,508.06 and 1,941.64

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Solution

The fourth proportional to 3,673.96, 5,508.06 and 1,941.64 is: 2,910.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673.96 : 5,508.06 = 1,941.64 : x
  2. Step 2: Convert to fraction form
    3,673.96/5,508.06 = 1,941.64/x
  3. Step 3: Cross multiply
    3,673.96x = 5,508.06 × 1,941.64
  4. Step 4: Simplify right side
    3,673.96x = 10,694,669.62
  5. Step 5: Solve for x
    x = 10,694,669.62/3,673.96
  6. Step 6: Final answer
    x = 2,910.94

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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.