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Finding the Fourth Proportional to 3,456.98, 5,181.37 and 1,812.63

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Solution

The fourth proportional to 3,456.98, 5,181.37 and 1,812.63 is: 2,716.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.98 : 5,181.37 = 1,812.63 : x
  2. Step 2: Convert to fraction form
    3,456.98/5,181.37 = 1,812.63/x
  3. Step 3: Cross multiply
    3,456.98x = 5,181.37 × 1,812.63
  4. Step 4: Simplify right side
    3,456.98x = 9,391,892.46
  5. Step 5: Solve for x
    x = 9,391,892.46/3,456.98
  6. Step 6: Final answer
    x = 2,716.79

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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.