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Finding the Fourth Proportional to 5,165.73, 7,749.81 and 2,825.10

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Solution

The fourth proportional to 5,165.73, 7,749.81 and 2,825.10 is: 4,238.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.73 : 7,749.81 = 2,825.10 : x
  2. Step 2: Convert to fraction form
    5,165.73/7,749.81 = 2,825.10/x
  3. Step 3: Cross multiply
    5,165.73x = 7,749.81 × 2,825.10
  4. Step 4: Simplify right side
    5,165.73x = 21,893,988.23
  5. Step 5: Solve for x
    x = 21,893,988.23/5,165.73
  6. Step 6: Final answer
    x = 4,238.31

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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.