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Finding the Fourth Proportional to 3,800.48, 5,245.54 and 2,229.08

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Solution

The fourth proportional to 3,800.48, 5,245.54 and 2,229.08 is: 3,076.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.48 : 5,245.54 = 2,229.08 : x
  2. Step 2: Convert to fraction form
    3,800.48/5,245.54 = 2,229.08/x
  3. Step 3: Cross multiply
    3,800.48x = 5,245.54 × 2,229.08
  4. Step 4: Simplify right side
    3,800.48x = 11,692,704.04
  5. Step 5: Solve for x
    x = 11,692,704.04/3,800.48
  6. Step 6: Final answer
    x = 3,076.64

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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.