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Finding the Fourth Proportional to 3,917.77, 5,406.14 and 2,238.64

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Solution

The fourth proportional to 3,917.77, 5,406.14 and 2,238.64 is: 3,089.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,917.77 : 5,406.14 = 2,238.64 : x
  2. Step 2: Convert to fraction form
    3,917.77/5,406.14 = 2,238.64/x
  3. Step 3: Cross multiply
    3,917.77x = 5,406.14 × 2,238.64
  4. Step 4: Simplify right side
    3,917.77x = 12,102,393.33
  5. Step 5: Solve for x
    x = 12,102,393.33/3,917.77
  6. Step 6: Final answer
    x = 3,089.10

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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.