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Finding the Fourth Proportional to 3,450.55, 5,171.16 and 2,474.50

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Solution

The fourth proportional to 3,450.55, 5,171.16 and 2,474.50 is: 3,708.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,450.55 : 5,171.16 = 2,474.50 : x
  2. Step 2: Convert to fraction form
    3,450.55/5,171.16 = 2,474.50/x
  3. Step 3: Cross multiply
    3,450.55x = 5,171.16 × 2,474.50
  4. Step 4: Simplify right side
    3,450.55x = 12,796,009.56
  5. Step 5: Solve for x
    x = 12,796,009.56/3,450.55
  6. Step 6: Final answer
    x = 3,708.40

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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.