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Finding the Fourth Proportional to 3,917.22, 5,405.84 and 2,405.22

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Solution

The fourth proportional to 3,917.22, 5,405.84 and 2,405.22 is: 3,319.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,917.22 : 5,405.84 = 2,405.22 : x
  2. Step 2: Convert to fraction form
    3,917.22/5,405.84 = 2,405.22/x
  3. Step 3: Cross multiply
    3,917.22x = 5,405.84 × 2,405.22
  4. Step 4: Simplify right side
    3,917.22x = 13,002,234.48
  5. Step 5: Solve for x
    x = 13,002,234.48/3,917.22
  6. Step 6: Final answer
    x = 3,319.25

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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.