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Finding the Fourth Proportional to 3,657.33, 5,046.74 and 2,063.83

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Solution

The fourth proportional to 3,657.33, 5,046.74 and 2,063.83 is: 2,847.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.33 : 5,046.74 = 2,063.83 : x
  2. Step 2: Convert to fraction form
    3,657.33/5,046.74 = 2,063.83/x
  3. Step 3: Cross multiply
    3,657.33x = 5,046.74 × 2,063.83
  4. Step 4: Simplify right side
    3,657.33x = 10,415,624.88
  5. Step 5: Solve for x
    x = 10,415,624.88/3,657.33
  6. Step 6: Final answer
    x = 2,847.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.