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Finding the Fourth Proportional to 3,221.36, 4,832.72 and 2,409.32

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Solution

The fourth proportional to 3,221.36, 4,832.72 and 2,409.32 is: 3,614.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,221.36 : 4,832.72 = 2,409.32 : x
  2. Step 2: Convert to fraction form
    3,221.36/4,832.72 = 2,409.32/x
  3. Step 3: Cross multiply
    3,221.36x = 4,832.72 × 2,409.32
  4. Step 4: Simplify right side
    3,221.36x = 11,643,568.95
  5. Step 5: Solve for x
    x = 11,643,568.95/3,221.36
  6. Step 6: Final answer
    x = 3,614.49

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Why These Related Problems?

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