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Finding the Fourth Proportional to 3,787.66, 5,227.34 and 2,296.63

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Solution

The fourth proportional to 3,787.66, 5,227.34 and 2,296.63 is: 3,169.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.66 : 5,227.34 = 2,296.63 : x
  2. Step 2: Convert to fraction form
    3,787.66/5,227.34 = 2,296.63/x
  3. Step 3: Cross multiply
    3,787.66x = 5,227.34 × 2,296.63
  4. Step 4: Simplify right side
    3,787.66x = 12,005,239.73
  5. Step 5: Solve for x
    x = 12,005,239.73/3,787.66
  6. Step 6: Final answer
    x = 3,169.57

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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.