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Finding the Fourth Proportional to 3,183.57, 4,392.75 and 1,838.87

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Solution

The fourth proportional to 3,183.57, 4,392.75 and 1,838.87 is: 2,537.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183.57 : 4,392.75 = 1,838.87 : x
  2. Step 2: Convert to fraction form
    3,183.57/4,392.75 = 1,838.87/x
  3. Step 3: Cross multiply
    3,183.57x = 4,392.75 × 1,838.87
  4. Step 4: Simplify right side
    3,183.57x = 8,077,665.03
  5. Step 5: Solve for x
    x = 8,077,665.03/3,183.57
  6. Step 6: Final answer
    x = 2,537.30

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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.