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Finding the Fourth Proportional to 4,761.45, 7,134.31 and 1,639.78

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Solution

The fourth proportional to 4,761.45, 7,134.31 and 1,639.78 is: 2,456.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.45 : 7,134.31 = 1,639.78 : x
  2. Step 2: Convert to fraction form
    4,761.45/7,134.31 = 1,639.78/x
  3. Step 3: Cross multiply
    4,761.45x = 7,134.31 × 1,639.78
  4. Step 4: Simplify right side
    4,761.45x = 11,698,698.85
  5. Step 5: Solve for x
    x = 11,698,698.85/4,761.45
  6. Step 6: Final answer
    x = 2,456.96

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