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Finding the Fourth Proportional to 3,751.62, 5,174.73 and 2,257.98

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Solution

The fourth proportional to 3,751.62, 5,174.73 and 2,257.98 is: 3,114.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,751.62 : 5,174.73 = 2,257.98 : x
  2. Step 2: Convert to fraction form
    3,751.62/5,174.73 = 2,257.98/x
  3. Step 3: Cross multiply
    3,751.62x = 5,174.73 × 2,257.98
  4. Step 4: Simplify right side
    3,751.62x = 11,684,436.85
  5. Step 5: Solve for x
    x = 11,684,436.85/3,751.62
  6. Step 6: Final answer
    x = 3,114.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.