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Finding the Fourth Proportional to 5,162.73, 7,747.13 and 2,043.03

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Solution

The fourth proportional to 5,162.73, 7,747.13 and 2,043.03 is: 3,065.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,162.73 : 7,747.13 = 2,043.03 : x
  2. Step 2: Convert to fraction form
    5,162.73/7,747.13 = 2,043.03/x
  3. Step 3: Cross multiply
    5,162.73x = 7,747.13 × 2,043.03
  4. Step 4: Simplify right side
    5,162.73x = 15,827,619.00
  5. Step 5: Solve for x
    x = 15,827,619.00/5,162.73
  6. Step 6: Final answer
    x = 3,065.75

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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.