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Finding the Fourth Proportional to 6,183.69, 8,529.75 and 3,665.00

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Solution

The fourth proportional to 6,183.69, 8,529.75 and 3,665.00 is: 5,055.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,183.69 : 8,529.75 = 3,665.00 : x
  2. Step 2: Convert to fraction form
    6,183.69/8,529.75 = 3,665.00/x
  3. Step 3: Cross multiply
    6,183.69x = 8,529.75 × 3,665.00
  4. Step 4: Simplify right side
    6,183.69x = 31,261,491.10
  5. Step 5: Solve for x
    x = 31,261,491.10/6,183.69
  6. Step 6: Final answer
    x = 5,055.48

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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.