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Finding the Fourth Proportional to 3,463.54, 5,191.18 and 1,999.60

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Solution

The fourth proportional to 3,463.54, 5,191.18 and 1,999.60 is: 2,997.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.54 : 5,191.18 = 1,999.60 : x
  2. Step 2: Convert to fraction form
    3,463.54/5,191.18 = 1,999.60/x
  3. Step 3: Cross multiply
    3,463.54x = 5,191.18 × 1,999.60
  4. Step 4: Simplify right side
    3,463.54x = 10,380,283.53
  5. Step 5: Solve for x
    x = 10,380,283.53/3,463.54
  6. Step 6: Final answer
    x = 2,997.02

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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.