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Finding the Fourth Proportional to 3,219.32, 4,832.08 and 2,124.44

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Solution

The fourth proportional to 3,219.32, 4,832.08 and 2,124.44 is: 3,188.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219.32 : 4,832.08 = 2,124.44 : x
  2. Step 2: Convert to fraction form
    3,219.32/4,832.08 = 2,124.44/x
  3. Step 3: Cross multiply
    3,219.32x = 4,832.08 × 2,124.44
  4. Step 4: Simplify right side
    3,219.32x = 10,265,464.04
  5. Step 5: Solve for x
    x = 10,265,464.04/3,219.32
  6. Step 6: Final answer
    x = 3,188.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.