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Finding the Fourth Proportional to 5,299.87, 7,949.84 and 1,836.31

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Solution

The fourth proportional to 5,299.87, 7,949.84 and 1,836.31 is: 2,754.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,299.87 : 7,949.84 = 1,836.31 : x
  2. Step 2: Convert to fraction form
    5,299.87/7,949.84 = 1,836.31/x
  3. Step 3: Cross multiply
    5,299.87x = 7,949.84 × 1,836.31
  4. Step 4: Simplify right side
    5,299.87x = 14,598,341.63
  5. Step 5: Solve for x
    x = 14,598,341.63/5,299.87
  6. Step 6: Final answer
    x = 2,754.47

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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.