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Finding the Fourth Proportional to 3,927.36, 5,892 and 1,330.32

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Solution

The fourth proportional to 3,927.36, 5,892 and 1,330.32 is: 1,995.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927.36 : 5,892 = 1,330.32 : x
  2. Step 2: Convert to fraction form
    3,927.36/5,892 = 1,330.32/x
  3. Step 3: Cross multiply
    3,927.36x = 5,892 × 1,330.32
  4. Step 4: Simplify right side
    3,927.36x = 7,838,245.44
  5. Step 5: Solve for x
    x = 7,838,245.44/3,927.36
  6. Step 6: Final answer
    x = 1,995.81

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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.