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Finding the Fourth Proportional to 5,963.33, 8,227.90 and 4,288.23

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Solution

The fourth proportional to 5,963.33, 8,227.90 and 4,288.23 is: 5,916.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,963.33 : 8,227.90 = 4,288.23 : x
  2. Step 2: Convert to fraction form
    5,963.33/8,227.90 = 4,288.23/x
  3. Step 3: Cross multiply
    5,963.33x = 8,227.90 × 4,288.23
  4. Step 4: Simplify right side
    5,963.33x = 35,283,133.47
  5. Step 5: Solve for x
    x = 35,283,133.47/5,963.33
  6. Step 6: Final answer
    x = 5,916.68

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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.