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Finding the Fourth Proportional to 5,663.97, 8,493.31 and 2,154.63

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Solution

The fourth proportional to 5,663.97, 8,493.31 and 2,154.63 is: 3,230.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663.97 : 8,493.31 = 2,154.63 : x
  2. Step 2: Convert to fraction form
    5,663.97/8,493.31 = 2,154.63/x
  3. Step 3: Cross multiply
    5,663.97x = 8,493.31 × 2,154.63
  4. Step 4: Simplify right side
    5,663.97x = 18,299,940.53
  5. Step 5: Solve for x
    x = 18,299,940.53/5,663.97
  6. Step 6: Final answer
    x = 3,230.94

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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.