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Finding the Fourth Proportional to 3,917.70, 5,406.08 and 2,238.77

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Solution

The fourth proportional to 3,917.70, 5,406.08 and 2,238.77 is: 3,089.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,917.70 : 5,406.08 = 2,238.77 : x
  2. Step 2: Convert to fraction form
    3,917.70/5,406.08 = 2,238.77/x
  3. Step 3: Cross multiply
    3,917.70x = 5,406.08 × 2,238.77
  4. Step 4: Simplify right side
    3,917.70x = 12,102,969.72
  5. Step 5: Solve for x
    x = 12,102,969.72/3,917.70
  6. Step 6: Final answer
    x = 3,089.30

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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.