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Finding the Fourth Proportional to 3,247.09, 4,874.82 and 2,787.82

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Solution

The fourth proportional to 3,247.09, 4,874.82 and 2,787.82 is: 4,185.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,247.09 : 4,874.82 = 2,787.82 : x
  2. Step 2: Convert to fraction form
    3,247.09/4,874.82 = 2,787.82/x
  3. Step 3: Cross multiply
    3,247.09x = 4,874.82 × 2,787.82
  4. Step 4: Simplify right side
    3,247.09x = 13,590,120.69
  5. Step 5: Solve for x
    x = 13,590,120.69/3,247.09
  6. Step 6: Final answer
    x = 4,185.32

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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.