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Finding the Fourth Proportional to 5,805.68, 8,722.09 and 5,491.00

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Solution

The fourth proportional to 5,805.68, 8,722.09 and 5,491.00 is: 8,249.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,805.68 : 8,722.09 = 5,491.00 : x
  2. Step 2: Convert to fraction form
    5,805.68/8,722.09 = 5,491.00/x
  3. Step 3: Cross multiply
    5,805.68x = 8,722.09 × 5,491.00
  4. Step 4: Simplify right side
    5,805.68x = 47,892,952.58
  5. Step 5: Solve for x
    x = 47,892,952.58/5,805.68
  6. Step 6: Final answer
    x = 8,249.33

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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.