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Finding the Fourth Proportional to 3,917.28, 5,405.86 and 2,148.86

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Solution

The fourth proportional to 3,917.28, 5,405.86 and 2,148.86 is: 2,965.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,917.28 : 5,405.86 = 2,148.86 : x
  2. Step 2: Convert to fraction form
    3,917.28/5,405.86 = 2,148.86/x
  3. Step 3: Cross multiply
    3,917.28x = 5,405.86 × 2,148.86
  4. Step 4: Simplify right side
    3,917.28x = 11,616,436.32
  5. Step 5: Solve for x
    x = 11,616,436.32/3,917.28
  6. Step 6: Final answer
    x = 2,965.43

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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.