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Finding the Fourth Proportional to 5,469.06, 8,208.48 and 3,909

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Solution

The fourth proportional to 5,469.06, 8,208.48 and 3,909 is: 5,867.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,469.06 : 8,208.48 = 3,909 : x
  2. Step 2: Convert to fraction form
    5,469.06/8,208.48 = 3,909/x
  3. Step 3: Cross multiply
    5,469.06x = 8,208.48 × 3,909
  4. Step 4: Simplify right side
    5,469.06x = 32,086,948.32
  5. Step 5: Solve for x
    x = 32,086,948.32/5,469.06
  6. Step 6: Final answer
    x = 5,867.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.