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Finding the Fourth Proportional to 3,924.12, 5,415.24 and 2,352.24

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Solution

The fourth proportional to 3,924.12, 5,415.24 and 2,352.24 is: 3,246.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,924.12 : 5,415.24 = 2,352.24 : x
  2. Step 2: Convert to fraction form
    3,924.12/5,415.24 = 2,352.24/x
  3. Step 3: Cross multiply
    3,924.12x = 5,415.24 × 2,352.24
  4. Step 4: Simplify right side
    3,924.12x = 12,737,944.14
  5. Step 5: Solve for x
    x = 12,737,944.14/3,924.12
  6. Step 6: Final answer
    x = 3,246.06

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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.