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Finding the Fourth Proportional to 4,205.22, 5,809.09 and 3,983.79

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Solution

The fourth proportional to 4,205.22, 5,809.09 and 3,983.79 is: 5,503.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205.22 : 5,809.09 = 3,983.79 : x
  2. Step 2: Convert to fraction form
    4,205.22/5,809.09 = 3,983.79/x
  3. Step 3: Cross multiply
    4,205.22x = 5,809.09 × 3,983.79
  4. Step 4: Simplify right side
    4,205.22x = 23,142,165.61
  5. Step 5: Solve for x
    x = 23,142,165.61/4,205.22
  6. Step 6: Final answer
    x = 5,503.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.