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Finding the Fourth Proportional to 3,891.71, 5,833.23 and 2,043.03

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Solution

The fourth proportional to 3,891.71, 5,833.23 and 2,043.03 is: 3,062.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.71 : 5,833.23 = 2,043.03 : x
  2. Step 2: Convert to fraction form
    3,891.71/5,833.23 = 2,043.03/x
  3. Step 3: Cross multiply
    3,891.71x = 5,833.23 × 2,043.03
  4. Step 4: Simplify right side
    3,891.71x = 11,917,463.89
  5. Step 5: Solve for x
    x = 11,917,463.89/3,891.71
  6. Step 6: Final answer
    x = 3,062.27

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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.