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Finding the Fourth Proportional to 8,201.66, 12,284.00 and 3,809.88

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Solution

The fourth proportional to 8,201.66, 12,284.00 and 3,809.88 is: 5,706.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.66 : 12,284.00 = 3,809.88 : x
  2. Step 2: Convert to fraction form
    8,201.66/12,284.00 = 3,809.88/x
  3. Step 3: Cross multiply
    8,201.66x = 12,284.00 × 3,809.88
  4. Step 4: Simplify right side
    8,201.66x = 46,800,503.19
  5. Step 5: Solve for x
    x = 46,800,503.19/8,201.66
  6. Step 6: Final answer
    x = 5,706.22

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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.