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Finding the Fourth Proportional to 4,615.26, 6,921.27 and 2,857.56

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Solution

The fourth proportional to 4,615.26, 6,921.27 and 2,857.56 is: 4,285.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,615.26 : 6,921.27 = 2,857.56 : x
  2. Step 2: Convert to fraction form
    4,615.26/6,921.27 = 2,857.56/x
  3. Step 3: Cross multiply
    4,615.26x = 6,921.27 × 2,857.56
  4. Step 4: Simplify right side
    4,615.26x = 19,777,944.30
  5. Step 5: Solve for x
    x = 19,777,944.30/4,615.26
  6. Step 6: Final answer
    x = 4,285.34

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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.