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Finding the Fourth Proportional to 5,691.66, 8,538.21 and 2,228.46

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Solution

The fourth proportional to 5,691.66, 8,538.21 and 2,228.46 is: 3,342.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,691.66 : 8,538.21 = 2,228.46 : x
  2. Step 2: Convert to fraction form
    5,691.66/8,538.21 = 2,228.46/x
  3. Step 3: Cross multiply
    5,691.66x = 8,538.21 × 2,228.46
  4. Step 4: Simplify right side
    5,691.66x = 19,027,059.46
  5. Step 5: Solve for x
    x = 19,027,059.46/5,691.66
  6. Step 6: Final answer
    x = 3,342.97

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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.