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Finding the Fourth Proportional to 3,755.82, 5,183.46 and 2,264.46

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Solution

The fourth proportional to 3,755.82, 5,183.46 and 2,264.46 is: 3,125.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.82 : 5,183.46 = 2,264.46 : x
  2. Step 2: Convert to fraction form
    3,755.82/5,183.46 = 2,264.46/x
  3. Step 3: Cross multiply
    3,755.82x = 5,183.46 × 2,264.46
  4. Step 4: Simplify right side
    3,755.82x = 11,737,737.83
  5. Step 5: Solve for x
    x = 11,737,737.83/3,755.82
  6. Step 6: Final answer
    x = 3,125.21

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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.