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Finding the Fourth Proportional to 3,827.68, 5,742.08 and 1,229.76

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Solution

The fourth proportional to 3,827.68, 5,742.08 and 1,229.76 is: 1,844.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.68 : 5,742.08 = 1,229.76 : x
  2. Step 2: Convert to fraction form
    3,827.68/5,742.08 = 1,229.76/x
  3. Step 3: Cross multiply
    3,827.68x = 5,742.08 × 1,229.76
  4. Step 4: Simplify right side
    3,827.68x = 7,061,380.30
  5. Step 5: Solve for x
    x = 7,061,380.30/3,827.68
  6. Step 6: Final answer
    x = 1,844.82

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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.