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Finding the Fourth Proportional to 3,192.87, 4,787.25 and 2,754.10

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Solution

The fourth proportional to 3,192.87, 4,787.25 and 2,754.10 is: 4,129.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,192.87 : 4,787.25 = 2,754.10 : x
  2. Step 2: Convert to fraction form
    3,192.87/4,787.25 = 2,754.10/x
  3. Step 3: Cross multiply
    3,192.87x = 4,787.25 × 2,754.10
  4. Step 4: Simplify right side
    3,192.87x = 13,184,576.37
  5. Step 5: Solve for x
    x = 13,184,576.37/3,192.87
  6. Step 6: Final answer
    x = 4,129.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.