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Finding the Fourth Proportional to 5,932.26, 8,901 and 3,158.28

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Solution

The fourth proportional to 5,932.26, 8,901 and 3,158.28 is: 4,738.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,932.26 : 8,901 = 3,158.28 : x
  2. Step 2: Convert to fraction form
    5,932.26/8,901 = 3,158.28/x
  3. Step 3: Cross multiply
    5,932.26x = 8,901 × 3,158.28
  4. Step 4: Simplify right side
    5,932.26x = 28,111,850.28
  5. Step 5: Solve for x
    x = 28,111,850.28/5,932.26
  6. Step 6: Final answer
    x = 4,738.81

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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.