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Finding the Fourth Proportional to 4,757.44, 6,564.81 and 3,221.24

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Solution

The fourth proportional to 4,757.44, 6,564.81 and 3,221.24 is: 4,445.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,757.44 : 6,564.81 = 3,221.24 : x
  2. Step 2: Convert to fraction form
    4,757.44/6,564.81 = 3,221.24/x
  3. Step 3: Cross multiply
    4,757.44x = 6,564.81 × 3,221.24
  4. Step 4: Simplify right side
    4,757.44x = 21,146,828.56
  5. Step 5: Solve for x
    x = 21,146,828.56/4,757.44
  6. Step 6: Final answer
    x = 4,445.00

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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.