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Finding the Fourth Proportional to 3,800.68, 5,244.66 and 2,229.64

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Solution

The fourth proportional to 3,800.68, 5,244.66 and 2,229.64 is: 3,076.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.68 : 5,244.66 = 2,229.64 : x
  2. Step 2: Convert to fraction form
    3,800.68/5,244.66 = 2,229.64/x
  3. Step 3: Cross multiply
    3,800.68x = 5,244.66 × 2,229.64
  4. Step 4: Simplify right side
    3,800.68x = 11,693,703.72
  5. Step 5: Solve for x
    x = 11,693,703.72/3,800.68
  6. Step 6: Final answer
    x = 3,076.74

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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.