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Finding the Fourth Proportional to 3,399.46, 5,096 and 1,837.14

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Solution

The fourth proportional to 3,399.46, 5,096 and 1,837.14 is: 2,753.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,399.46 : 5,096 = 1,837.14 : x
  2. Step 2: Convert to fraction form
    3,399.46/5,096 = 1,837.14/x
  3. Step 3: Cross multiply
    3,399.46x = 5,096 × 1,837.14
  4. Step 4: Simplify right side
    3,399.46x = 9,362,065.44
  5. Step 5: Solve for x
    x = 9,362,065.44/3,399.46
  6. Step 6: Final answer
    x = 2,753.99

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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.