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Finding the Fourth Proportional to 3,183.94, 4,392 and 1,857.52

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Solution

The fourth proportional to 3,183.94, 4,392 and 1,857.52 is: 2,562.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183.94 : 4,392 = 1,857.52 : x
  2. Step 2: Convert to fraction form
    3,183.94/4,392 = 1,857.52/x
  3. Step 3: Cross multiply
    3,183.94x = 4,392 × 1,857.52
  4. Step 4: Simplify right side
    3,183.94x = 8,158,227.84
  5. Step 5: Solve for x
    x = 8,158,227.84/3,183.94
  6. Step 6: Final answer
    x = 2,562.31

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Why These Related Problems?

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