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Finding the Fourth Proportional to 5,462.73, 8,194.09 and 1,358.73

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Solution

The fourth proportional to 5,462.73, 8,194.09 and 1,358.73 is: 2,038.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,462.73 : 8,194.09 = 1,358.73 : x
  2. Step 2: Convert to fraction form
    5,462.73/8,194.09 = 1,358.73/x
  3. Step 3: Cross multiply
    5,462.73x = 8,194.09 × 1,358.73
  4. Step 4: Simplify right side
    5,462.73x = 11,133,514.94
  5. Step 5: Solve for x
    x = 11,133,514.94/5,462.73
  6. Step 6: Final answer
    x = 2,038.09

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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.