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Finding the Fourth Proportional to 3,505.64, 4,837.81 and 1,912.27

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Solution

The fourth proportional to 3,505.64, 4,837.81 and 1,912.27 is: 2,638.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505.64 : 4,837.81 = 1,912.27 : x
  2. Step 2: Convert to fraction form
    3,505.64/4,837.81 = 1,912.27/x
  3. Step 3: Cross multiply
    3,505.64x = 4,837.81 × 1,912.27
  4. Step 4: Simplify right side
    3,505.64x = 9,251,198.93
  5. Step 5: Solve for x
    x = 9,251,198.93/3,505.64
  6. Step 6: Final answer
    x = 2,638.95

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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.