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Finding the Fourth Proportional to 3,612.46, 5,418.90 and 1,666.03

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Solution

The fourth proportional to 3,612.46, 5,418.90 and 1,666.03 is: 2,499.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,612.46 : 5,418.90 = 1,666.03 : x
  2. Step 2: Convert to fraction form
    3,612.46/5,418.90 = 1,666.03/x
  3. Step 3: Cross multiply
    3,612.46x = 5,418.90 × 1,666.03
  4. Step 4: Simplify right side
    3,612.46x = 9,028,049.97
  5. Step 5: Solve for x
    x = 9,028,049.97/3,612.46
  6. Step 6: Final answer
    x = 2,499.14

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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.