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Finding the Fourth Proportional to 5,410.02, 7,463.46 and 3,171.99

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Solution

The fourth proportional to 5,410.02, 7,463.46 and 3,171.99 is: 4,375.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,410.02 : 7,463.46 = 3,171.99 : x
  2. Step 2: Convert to fraction form
    5,410.02/7,463.46 = 3,171.99/x
  3. Step 3: Cross multiply
    5,410.02x = 7,463.46 × 3,171.99
  4. Step 4: Simplify right side
    5,410.02x = 23,674,020.49
  5. Step 5: Solve for x
    x = 23,674,020.49/5,410.02
  6. Step 6: Final answer
    x = 4,375.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.