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Finding the Fourth Proportional to 3,474.54, 5,213.03 and 2,309.16

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Solution

The fourth proportional to 3,474.54, 5,213.03 and 2,309.16 is: 3,464.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.54 : 5,213.03 = 2,309.16 : x
  2. Step 2: Convert to fraction form
    3,474.54/5,213.03 = 2,309.16/x
  3. Step 3: Cross multiply
    3,474.54x = 5,213.03 × 2,309.16
  4. Step 4: Simplify right side
    3,474.54x = 12,037,720.35
  5. Step 5: Solve for x
    x = 12,037,720.35/3,474.54
  6. Step 6: Final answer
    x = 3,464.55

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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.