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Finding the Fourth Proportional to 4,309.00, 6,464.10 and 2,229.22

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Solution

The fourth proportional to 4,309.00, 6,464.10 and 2,229.22 is: 3,344.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,309.00 : 6,464.10 = 2,229.22 : x
  2. Step 2: Convert to fraction form
    4,309.00/6,464.10 = 2,229.22/x
  3. Step 3: Cross multiply
    4,309.00x = 6,464.10 × 2,229.22
  4. Step 4: Simplify right side
    4,309.00x = 14,409,917.44
  5. Step 5: Solve for x
    x = 14,409,917.44/4,309.00
  6. Step 6: Final answer
    x = 3,344.15

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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.