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Finding the Fourth Proportional to 3,399.46, 5,096.13 and 1,643.38

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Solution

The fourth proportional to 3,399.46, 5,096.13 and 1,643.38 is: 2,463.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,399.46 : 5,096.13 = 1,643.38 : x
  2. Step 2: Convert to fraction form
    3,399.46/5,096.13 = 1,643.38/x
  3. Step 3: Cross multiply
    3,399.46x = 5,096.13 × 1,643.38
  4. Step 4: Simplify right side
    3,399.46x = 8,374,878.12
  5. Step 5: Solve for x
    x = 8,374,878.12/3,399.46
  6. Step 6: Final answer
    x = 2,463.59

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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.