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Finding the Fourth Proportional to 4,205.72, 5,809.78 and 3,984.29

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Solution

The fourth proportional to 4,205.72, 5,809.78 and 3,984.29 is: 5,503.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205.72 : 5,809.78 = 3,984.29 : x
  2. Step 2: Convert to fraction form
    4,205.72/5,809.78 = 3,984.29/x
  3. Step 3: Cross multiply
    4,205.72x = 5,809.78 × 3,984.29
  4. Step 4: Simplify right side
    4,205.72x = 23,147,809.35
  5. Step 5: Solve for x
    x = 23,147,809.35/4,205.72
  6. Step 6: Final answer
    x = 5,503.89

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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.