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Finding the Fourth Proportional to 3,917.64, 5,406.81 and 2,239.29

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Solution

The fourth proportional to 3,917.64, 5,406.81 and 2,239.29 is: 3,090.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,917.64 : 5,406.81 = 2,239.29 : x
  2. Step 2: Convert to fraction form
    3,917.64/5,406.81 = 2,239.29/x
  3. Step 3: Cross multiply
    3,917.64x = 5,406.81 × 2,239.29
  4. Step 4: Simplify right side
    3,917.64x = 12,107,415.56
  5. Step 5: Solve for x
    x = 12,107,415.56/3,917.64
  6. Step 6: Final answer
    x = 3,090.49

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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.