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Finding the Fourth Proportional to 5,760.81, 8,644.03 and 2,063.32

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Solution

The fourth proportional to 5,760.81, 8,644.03 and 2,063.32 is: 3,095.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,760.81 : 8,644.03 = 2,063.32 : x
  2. Step 2: Convert to fraction form
    5,760.81/8,644.03 = 2,063.32/x
  3. Step 3: Cross multiply
    5,760.81x = 8,644.03 × 2,063.32
  4. Step 4: Simplify right side
    5,760.81x = 17,835,399.98
  5. Step 5: Solve for x
    x = 17,835,399.98/5,760.81
  6. Step 6: Final answer
    x = 3,095.99

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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.