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Finding the Fourth Proportional to 5,400.38, 8,092.46 and 4,849.58

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Solution

The fourth proportional to 5,400.38, 8,092.46 and 4,849.58 is: 7,267.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,400.38 : 8,092.46 = 4,849.58 : x
  2. Step 2: Convert to fraction form
    5,400.38/8,092.46 = 4,849.58/x
  3. Step 3: Cross multiply
    5,400.38x = 8,092.46 × 4,849.58
  4. Step 4: Simplify right side
    5,400.38x = 39,245,032.17
  5. Step 5: Solve for x
    x = 39,245,032.17/5,400.38
  6. Step 6: Final answer
    x = 7,267.09

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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.