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Finding the Fourth Proportional to 3,789.99, 5,219.30 and 3,254.58

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Solution

The fourth proportional to 3,789.99, 5,219.30 and 3,254.58 is: 4,481.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,789.99 : 5,219.30 = 3,254.58 : x
  2. Step 2: Convert to fraction form
    3,789.99/5,219.30 = 3,254.58/x
  3. Step 3: Cross multiply
    3,789.99x = 5,219.30 × 3,254.58
  4. Step 4: Simplify right side
    3,789.99x = 16,986,637.53
  5. Step 5: Solve for x
    x = 16,986,637.53/3,789.99
  6. Step 6: Final answer
    x = 4,481.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.