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Finding the Fourth Proportional to 3,639.72, 5,457.36 and 1,449.48

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Solution

The fourth proportional to 3,639.72, 5,457.36 and 1,449.48 is: 2,173.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,639.72 : 5,457.36 = 1,449.48 : x
  2. Step 2: Convert to fraction form
    3,639.72/5,457.36 = 1,449.48/x
  3. Step 3: Cross multiply
    3,639.72x = 5,457.36 × 1,449.48
  4. Step 4: Simplify right side
    3,639.72x = 7,910,334.17
  5. Step 5: Solve for x
    x = 7,910,334.17/3,639.72
  6. Step 6: Final answer
    x = 2,173.34

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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.