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Finding the Fourth Proportional to 4,227.81, 6,337.47 and 1,764

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Solution

The fourth proportional to 4,227.81, 6,337.47 and 1,764 is: 2,644.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,227.81 : 6,337.47 = 1,764 : x
  2. Step 2: Convert to fraction form
    4,227.81/6,337.47 = 1,764/x
  3. Step 3: Cross multiply
    4,227.81x = 6,337.47 × 1,764
  4. Step 4: Simplify right side
    4,227.81x = 11,179,297.08
  5. Step 5: Solve for x
    x = 11,179,297.08/4,227.81
  6. Step 6: Final answer
    x = 2,644.23

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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.