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Finding the Fourth Proportional to 5,102.30, 7,041 and 2,864.54

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Solution

The fourth proportional to 5,102.30, 7,041 and 2,864.54 is: 3,952.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.30 : 7,041 = 2,864.54 : x
  2. Step 2: Convert to fraction form
    5,102.30/7,041 = 2,864.54/x
  3. Step 3: Cross multiply
    5,102.30x = 7,041 × 2,864.54
  4. Step 4: Simplify right side
    5,102.30x = 20,169,226.14
  5. Step 5: Solve for x
    x = 20,169,226.14/5,102.30
  6. Step 6: Final answer
    x = 3,952.97

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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.