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Finding the Fourth Proportional to 3,657.02, 5,046.12 and 2,063.54

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Solution

The fourth proportional to 3,657.02, 5,046.12 and 2,063.54 is: 2,847.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.02 : 5,046.12 = 2,063.54 : x
  2. Step 2: Convert to fraction form
    3,657.02/5,046.12 = 2,063.54/x
  3. Step 3: Cross multiply
    3,657.02x = 5,046.12 × 2,063.54
  4. Step 4: Simplify right side
    3,657.02x = 10,412,865.31
  5. Step 5: Solve for x
    x = 10,412,865.31/3,657.02
  6. Step 6: Final answer
    x = 2,847.37

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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.