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Finding the Fourth Proportional to 5,993.96, 8,264.31 and 4,928

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Solution

The fourth proportional to 5,993.96, 8,264.31 and 4,928 is: 6,794.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,993.96 : 8,264.31 = 4,928 : x
  2. Step 2: Convert to fraction form
    5,993.96/8,264.31 = 4,928/x
  3. Step 3: Cross multiply
    5,993.96x = 8,264.31 × 4,928
  4. Step 4: Simplify right side
    5,993.96x = 40,726,519.68
  5. Step 5: Solve for x
    x = 40,726,519.68/5,993.96
  6. Step 6: Final answer
    x = 6,794.59

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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.