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Finding the Fourth Proportional to 4,164.73, 6,248.82 and 1,823.53

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Solution

The fourth proportional to 4,164.73, 6,248.82 and 1,823.53 is: 2,736.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164.73 : 6,248.82 = 1,823.53 : x
  2. Step 2: Convert to fraction form
    4,164.73/6,248.82 = 1,823.53/x
  3. Step 3: Cross multiply
    4,164.73x = 6,248.82 × 1,823.53
  4. Step 4: Simplify right side
    4,164.73x = 11,394,879.49
  5. Step 5: Solve for x
    x = 11,394,879.49/4,164.73
  6. Step 6: Final answer
    x = 2,736.04

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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.