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Finding the Fourth Proportional to 4,227.48, 6,342.56 and 1,762.56

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Solution

The fourth proportional to 4,227.48, 6,342.56 and 1,762.56 is: 2,644.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,227.48 : 6,342.56 = 1,762.56 : x
  2. Step 2: Convert to fraction form
    4,227.48/6,342.56 = 1,762.56/x
  3. Step 3: Cross multiply
    4,227.48x = 6,342.56 × 1,762.56
  4. Step 4: Simplify right side
    4,227.48x = 11,179,142.55
  5. Step 5: Solve for x
    x = 11,179,142.55/4,227.48
  6. Step 6: Final answer
    x = 2,644.40

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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.