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Finding the Fourth Proportional to 3,755.43, 5,629.86 and 1,905.66

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Solution

The fourth proportional to 3,755.43, 5,629.86 and 1,905.66 is: 2,856.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.43 : 5,629.86 = 1,905.66 : x
  2. Step 2: Convert to fraction form
    3,755.43/5,629.86 = 1,905.66/x
  3. Step 3: Cross multiply
    3,755.43x = 5,629.86 × 1,905.66
  4. Step 4: Simplify right side
    3,755.43x = 10,728,599.01
  5. Step 5: Solve for x
    x = 10,728,599.01/3,755.43
  6. Step 6: Final answer
    x = 2,856.82

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1.5x scale

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.