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Finding the Fourth Proportional to 3,744.46, 5,618.04 and 1,606.43

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Solution

The fourth proportional to 3,744.46, 5,618.04 and 1,606.43 is: 2,410.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.46 : 5,618.04 = 1,606.43 : x
  2. Step 2: Convert to fraction form
    3,744.46/5,618.04 = 1,606.43/x
  3. Step 3: Cross multiply
    3,744.46x = 5,618.04 × 1,606.43
  4. Step 4: Simplify right side
    3,744.46x = 9,024,996.02
  5. Step 5: Solve for x
    x = 9,024,996.02/3,744.46
  6. Step 6: Final answer
    x = 2,410.23

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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.