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Finding the Fourth Proportional to 5,983.65, 8,257.56 and 3,331

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Solution

The fourth proportional to 5,983.65, 8,257.56 and 3,331 is: 4,596.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,983.65 : 8,257.56 = 3,331 : x
  2. Step 2: Convert to fraction form
    5,983.65/8,257.56 = 3,331/x
  3. Step 3: Cross multiply
    5,983.65x = 8,257.56 × 3,331
  4. Step 4: Simplify right side
    5,983.65x = 27,505,932.36
  5. Step 5: Solve for x
    x = 27,505,932.36/5,983.65
  6. Step 6: Final answer
    x = 4,596.85

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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.