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Finding the Fourth Proportional to 5,807.92, 8,713.12 and 1,805.22

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Solution

The fourth proportional to 5,807.92, 8,713.12 and 1,805.22 is: 2,708.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,807.92 : 8,713.12 = 1,805.22 : x
  2. Step 2: Convert to fraction form
    5,807.92/8,713.12 = 1,805.22/x
  3. Step 3: Cross multiply
    5,807.92x = 8,713.12 × 1,805.22
  4. Step 4: Simplify right side
    5,807.92x = 15,729,098.49
  5. Step 5: Solve for x
    x = 15,729,098.49/5,807.92
  6. Step 6: Final answer
    x = 2,708.22

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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.