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Finding the Fourth Proportional to 6,029.92, 8,314.59 and 3,789.10

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Solution

The fourth proportional to 6,029.92, 8,314.59 and 3,789.10 is: 5,224.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,029.92 : 8,314.59 = 3,789.10 : x
  2. Step 2: Convert to fraction form
    6,029.92/8,314.59 = 3,789.10/x
  3. Step 3: Cross multiply
    6,029.92x = 8,314.59 × 3,789.10
  4. Step 4: Simplify right side
    6,029.92x = 31,504,812.97
  5. Step 5: Solve for x
    x = 31,504,812.97/6,029.92
  6. Step 6: Final answer
    x = 5,224.75

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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.