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Finding the Fourth Proportional to 3,744.96, 5,617.37 and 1,664.40

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Solution

The fourth proportional to 3,744.96, 5,617.37 and 1,664.40 is: 2,496.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.96 : 5,617.37 = 1,664.40 : x
  2. Step 2: Convert to fraction form
    3,744.96/5,617.37 = 1,664.40/x
  3. Step 3: Cross multiply
    3,744.96x = 5,617.37 × 1,664.40
  4. Step 4: Simplify right side
    3,744.96x = 9,349,542.31
  5. Step 5: Solve for x
    x = 9,349,542.31/3,744.96
  6. Step 6: Final answer
    x = 2,496.57

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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.