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Finding the Fourth Proportional to 4,766.31, 7,149.47 and 2,686.37

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Solution

The fourth proportional to 4,766.31, 7,149.47 and 2,686.37 is: 4,029.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766.31 : 7,149.47 = 2,686.37 : x
  2. Step 2: Convert to fraction form
    4,766.31/7,149.47 = 2,686.37/x
  3. Step 3: Cross multiply
    4,766.31x = 7,149.47 × 2,686.37
  4. Step 4: Simplify right side
    4,766.31x = 19,206,072.54
  5. Step 5: Solve for x
    x = 19,206,072.54/4,766.31
  6. Step 6: Final answer
    x = 4,029.55

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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.