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Finding the Fourth Proportional to 5,310.31, 7,965.57 and 1,932.99

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Solution

The fourth proportional to 5,310.31, 7,965.57 and 1,932.99 is: 2,899.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,310.31 : 7,965.57 = 1,932.99 : x
  2. Step 2: Convert to fraction form
    5,310.31/7,965.57 = 1,932.99/x
  3. Step 3: Cross multiply
    5,310.31x = 7,965.57 × 1,932.99
  4. Step 4: Simplify right side
    5,310.31x = 15,397,367.15
  5. Step 5: Solve for x
    x = 15,397,367.15/5,310.31
  6. Step 6: Final answer
    x = 2,899.52

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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.