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Finding the Fourth Proportional to 3,917.63, 5,873.72 and 1,968.77

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Solution

The fourth proportional to 3,917.63, 5,873.72 and 1,968.77 is: 2,951.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,917.63 : 5,873.72 = 1,968.77 : x
  2. Step 2: Convert to fraction form
    3,917.63/5,873.72 = 1,968.77/x
  3. Step 3: Cross multiply
    3,917.63x = 5,873.72 × 1,968.77
  4. Step 4: Simplify right side
    3,917.63x = 11,564,008.56
  5. Step 5: Solve for x
    x = 11,564,008.56/3,917.63
  6. Step 6: Final answer
    x = 2,951.78

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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.