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Finding the Fourth Proportional to 4,736.56, 6,536.46 and 2,640.64

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Solution

The fourth proportional to 4,736.56, 6,536.46 and 2,640.64 is: 3,644.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,736.56 : 6,536.46 = 2,640.64 : x
  2. Step 2: Convert to fraction form
    4,736.56/6,536.46 = 2,640.64/x
  3. Step 3: Cross multiply
    4,736.56x = 6,536.46 × 2,640.64
  4. Step 4: Simplify right side
    4,736.56x = 17,260,437.73
  5. Step 5: Solve for x
    x = 17,260,437.73/4,736.56
  6. Step 6: Final answer
    x = 3,644.09

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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.