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Finding the Fourth Proportional to 3,917.63, 5,406.28 and 2,149.25

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Solution

The fourth proportional to 3,917.63, 5,406.28 and 2,149.25 is: 2,965.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,917.63 : 5,406.28 = 2,149.25 : x
  2. Step 2: Convert to fraction form
    3,917.63/5,406.28 = 2,149.25/x
  3. Step 3: Cross multiply
    3,917.63x = 5,406.28 × 2,149.25
  4. Step 4: Simplify right side
    3,917.63x = 11,619,414.89
  5. Step 5: Solve for x
    x = 11,619,414.89/3,917.63
  6. Step 6: Final answer
    x = 2,965.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.